_  __   _  _         _ _     _      _           _           
  __| |/ /_ | || |     __| (_)___| | __ (_)_ __   __| | _____  __
 / _` | '_ \| || |_   / _` | / __| |/ / | | '_ \ / _` |/ _ \ \/ /
| (_| | (_) |__   _| | (_| | \__ \   <  | | | | | (_| |  __/>  < 
 \__,_|\___/   |_|    \__,_|_|___/_|\_\ |_|_| |_|\__,_|\___/_/\_\
                                                                 
            

AGE1L3

FILE INFORMATION

FILENAME(S): AGE1L3

FILE TYPE(S): PRG

FILE SIZE: 7.6K

FIRST SEEN: 2025-10-19 22:49:00

APPEARS ON: 1 disk(s)

FILE HASH

2c9086632c96df4b636b518c5ede87cfd871c5b3af3b3c7579685ce288f6efd8

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HHM 100785 42S1 AGE1L3 PRG Radd Maxx 16 0 DOWNLOAD FILE

FILE CONTENT & ANALYSIS

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00001C20: 6F 6C 64 26 71 00 26 68  49 6E 20 68 6F 77 20 6D  |old&q.&hIn how m|
00001C30: 61 6E 79 20 79 65 61 72  73 26 68 3F 00 4A 69 6D  |any years&h?.Jim|
00001C40: 69 73 65 20 61 6E 64 20  41 6E 64 79 27 73 00 4A  |ise and Andy's.J|
00001C50: 69 6D 69 73 65 20 69 73  20 31 35 00 31 35 00 4A  |imise is 15.15.J|
00001C60: 69 6D 69 73 65 27 73 00  31 35 00 41 6E 64 79 20  |imise's.15.Andy |
00001C70: 69 73 20 35 33 20 79 65  61 72 73 20 6F 6C 64 00  |is 53 years old.|
00001C80: 41 6E 64 79 27 73 00 35  33 00 35 33 00 26 76 00  |Andy's.53.53.&v.|
00001C90: 4A 69 6D 69 73 65 20 61  6E 64 20 41 6E 64 79 27  |Jimise and Andy'|
00001CA0: 73 00 4A 69 6D 69 73 65  20 69 73 20 31 35 20 6E  |s.Jimise is 15 n|
00001CB0: 6F 77 20 61 6E 64 20 69  6E 20 22 26 76 22 20 79  |ow and in "&v" y|
00001CC0: 65 61 72 73 20 73 68 65  20 77 69 6C 6C 20 62 65  |ears she will be|
00001CD0: 20 60 31 35 2B 26 76 27  20 79 65 61 72 73 20 6F  | `15+&v' years o|
00001CE0: 6C 64 2E 00 31 35 2B 26  76 00 41 6E 64 79 20 69  |ld..15+&v.Andy i|
00001CF0: 73 20 35 33 20 6E 6F 77  20 61 6E 64 20 69 6E 20  |s 53 now and in |
00001D00: 22 26 76 22 20 79 65 61  72 73 20 68 65 20 77 69  |"&v" years he wi|
00001D10: 6C 6C 20 62 65 20 60 35  33 2B 26 76 27 20 79 65  |ll be `53+&v' ye|
00001D20: 61 72 73 20 6F 6C 64 2E  00 35 33 2B 26 76 00 4A  |ars old..53+&v.J|
00001D30: 69 6D 69 73 65 27 73 00  41 6E 64 79 27 73 00 33  |imise's.Andy's.3|
00001D40: 20 74 69 6D 65 73 20 61  73 20 6F 6C 64 00 41 6E  | times as old.An|
00001D50: 64 79 20 77 69 6C 6C 20  62 65 20 33 20 74 69 6D  |dy will be 3 tim|
00001D60: 65 73 20 61 73 20 6F 6C  64 20 61 73 20 4A 69 6D  |es as old as Jim|
00001D70: 69 73 65 2E 00 33 00 33  00 31 35 2B 26 76 00 33  |ise..3.3.15+&v.3|
00001D80: 00 35 33 2B 26 76 00 22  31 35 22 20 61 6E 64 20  |.53+&v."15" and |
00001D90: 22 26 76 22 20 62 79 20  22 33 22 00 34 00 34 00  |"&v" by "3".4.4.|
00001DA0: 49 6E 20 68 6F 77 20 6D  61 6E 79 20 79 65 61 72  |In how many year|
00001DB0: 73 00 34 2C 20 69 6E 20  60 34 27 20 79 65 61 72  |s.4, in `4' year|
00001DC0: 73 20 41 6E 64 79 20 77  69 6C 6C 20 62 65 20 33  |s Andy will be 3|
00001DD0: 20 74 69 6D 65 73 20 61  73 20 6F 6C 64 20 61 73  | times as old as|
00001DE0: 20 4A 69 6D 69 73 65 2E  00 34 00 34 00 4A 69 6D  | Jimise..4.4.Jim|
00001DF0: 69 73 65 27 73 00 4A 69  6D 69 73 65 27 73 00 22  |ise's.Jimise's."|
00001E00: 31 35 2B 26 76 22 00 73  68 65 20 77 69 6C 6C 20  |15+&v".she will |
00001E10: 62 65 20 31 35 2B 34 2C  20 6F 72 20 60 31 39 27  |be 15+4, or `19'|
00001E20: 20 79 65 61 72 73 20 6F  6C 64 2E 00 31 39 00 41  | years old..19.A|
00001E30: 6E 64 79 27 73 00 41 6E  64 79 27 73 20 41 67 65  |ndy's.Andy's Age|
00001E40: 20 54 68 65 6E 20 69 73  20 22 35 33 2B 26 76 22  | Then is "53+&v"|
00001E50: 2C 20 73 6F 20 68 65 20  77 69 6C 6C 20 62 65 20  |, so he will be |
00001E60: 35 33 2B 34 2C 20 6F 72  20 60 35 37 27 20 79 65  |53+4, or `57' ye|
00001E70: 61 72 73 20 6F 6C 64 2E  00 35 37 00 54 68 72 65  |ars old..57.Thre|
00001E80: 65 00 4A 69 6D 69 73 65  27 73 00 41 6E 64 79 27  |e.Jimise's.Andy'|
00001E90: 73 00 7C 53                                       |s.|S            |
 A@Q{}@DG10&C(1,{})&C(2,{})&D(3,AGE NOW)
&D(6,DIFFERENCE)&D(9,AGE THEN)@RREAD@PRE
AD THE WHOLE PROBLEM. THINK: WHAT ARE TH
E FACTS? WHAT IS BEING ASKED?      (PRES
S ANY KEY TO CONTINUE.)@HWHAT ARE THE FA
CTS? {}@HWHAT IS BEING ASKED? {}@I(0)@RD
ATA ENTRY@PENTER {} AGES NOW.@H&H{}&H.@H
`{}' IS {} AGE NOW.@I(4,I,{})@H&H{}&H.@H
{} AGE NOW IS `{}'.@I(5,I,{})@PUSE A VAR
IABLE TO REPRESENT THE # OF YEARS DIFFER
ENCE BETWEEN THEIR AGES NOW AND THEIR AG
ES THEN.@HUSE A VARIABLE TO REPRESENT TH
E NUMBER OF YEARS DIFFERENCE.@HENTER A L
ETTER, SUCH AS `Y', TO REPRESENT THE NUM
BER OF YEARS DIFFERENCE.@I(7,I,&V)&D(8,{
})@PREPRESENT BOTH {} AGES THEN.@HAGE NO
W + OR - DIFFERENCE = AGE THEN@H{}@I(10,
I,{})@HAGE NOW + OR - DIFFERENCE = AGE T
HEN@H{}@I(12,I,{})@PUSE THE MULTIPLIER W
INDOW TO SHOW THE RELATION BETWEEN {} AG
E THEN AND {} AGE THEN.&Q{}&Q@HTHE PROBL
EM IS TO FIND WHEN {}@HENTER `{}' AND PR
ESS THE <RETURN> KEY.@I(11,I,{})@RCOMPUT
E&C(13,({})   * {}  =  {})@PUSE THE CALC
ULATOR TO SOLVE THE EQUATION FOR "&V" (T
HE NUMBER OF YEARS DIFFERENCE).@HTHE CAL
CULATOR SOLVES EQUATIONS FOR YOU AND DIS
PLAYS STEPS IN THE SOLUTION.@HREMEMBER T
O MULTIPLY BOTH {}. ENTER `&V={}' AND PR
ESS THE <RETURN> KEY.@I(13,I,&V={})@PENT
ER YOUR ANSWER TO THE PROBLEM IN THE GRI
D. REMEMBER THE QUESTION.&Q{}&Q&W(13)@HT
HE DIFFERENCE BETWEEN THEIR AGES NOW AND
 THEIR AGES THEN IS THE VALUE OF "&V".@H
SINCE &V={}@I(7,I,{})@S&D(8,{})@RCHECK@P
REREAD THE PROBLEM. CHECK YOUR ANSWERS. 
EVALUATE THE REMAINING EXPRESSIONS IN TH
E GRID.@HSUBSTITUTE FOR "&V" IN THE EXPR
ESSION FOR {} AGE THEN. CALCULATE THE RE
SULT.@H{} AGE THEN IS {}, SO {}@I(10,I,{
})@HSUBSTITUTE FOR "&V" IN THE EXPRESSIO
N FOR {} AGE THEN. CALCULATE THE RESULT.
@H{}@I(12,I,{})&D(0,CHECK YOUR WORK. {} 
TIMES {} AGE THEN SHOULD EQUAL {} AGE TH
EN. GET READY FOR A NEW PROBLEM.)@FRICO 
IS 23 AND HIS FATHER IS 47. HOW MANY YEA
RS AGO WAS HIS FATHER 3 TIMES AS OLD AS 
RICO?.RICO.FATHER.&HRICO IS 23&H AND &HH
IS FATHER IS 47&H..&HHOW MANY YEARS AGO 
WAS HIS FATHER 3 TIMES AS OLD AS RICO?&H
.RICO AND HIS FATHER'S.RICO IS 23.23.RIC
O'S.23.HIS FATHER IS 47.HIS FATHER'S.47.
47.&V.RICO AND HIS FATHER'S.RICO IS 23 N
OW AND "&V" YEARS AGO, HE WAS `23-&V' YE
ARS OLD..23-&V.HIS FATHER IS 47 NOW AND 
"&V" YEARS AGO, HE WAS `47-&V' YEARS OLD
..47-&V.RICO'S.HIS FATHER'S.3 TIMES AS O
LD.RICO'S FATHER WAS &H3 TIMES AS OLD&H 
AS RICO..3.3.23-&V.3.47-&V.23 AND -&V BY
 3.11.11.HOW MANY YEARS AGO WAS HIS FATH
ER 3 TIMES AS OLD AS RICO?.11, `11' YEAR
S AGO, RICO'S FATHER WAS 3 TIMES AS OLD 
AS RICO..11.11.RICO'S.RICO'S."23-&V".HE 
WAS 23-11, OR `12' YEARS OLD..12.HIS FAT
HER'S.HIS FATHER'S AGE THEN IS "47-&V", 
SO HE WAS 47-11, OR `36' YEARS OLD..36.3
.RICO'S.HIS FATHER'S.@FWIL IS 37 AND ED 
IS 2. IN HOW MANY YEARS WILL WIL BE EIGH
T TIMES AS OLD AS ED?.ED.WIL.&QWIL IS 37
&Q&QED IS 2&Q&QEIGHT TIMES&Q.&QIN HOW MA
NY YEARS&Q.ED AND WIL'S.ED IS 2.2.ED'S.2
.WIL IS 37.WIL'S.37.37.&V.ED AND WIL'S.E
D IS 2 NOW AND IN "&V" YEARS, HE WILL BE
 `2+&V' YEARS OLD..2+&V.WIL IS 37 NOW AN
D IN "&V" YEARS, HE WILL BE `37+&V' YEAR
S OLD..37+&V.ED'S.WIL'S.WIL WILL BE EIGH
T TIMES AS OLD AS ED.WIL WILL BE EIGHT T
IMES AS OLD AS ED..8.8.2+&V.8.37+&V."2" 
AND "&V" BY "8".3.3.IN HOW MANY YEARS.3,
 IN `3' YEARS WIL WILL BE 8 TIMES AS OLD
 AS ED..+3.+3.ED'S.ED'S."2+&V".ED WILL B
E 2+3, OR `5' YEARS OLD..5.WIL'S.WIL'S A
GE THEN IS "37+&V", SO HE WILL BE 37+3, 
OR `40' YEARS OLD..40.8.ED'S.WIL'S.@FAPR
IL IS 11 AND JULIO IS 26. HOW MANY YEARS
 AGO WAS HE 4 TIMES AS OLD AS APRIL?.APR
IL.JULIO.&QAPRIL IS 11&Q&QJULIO IS 26&Q&
Q4 TIMES&Q.&QHOW MANY YEARS AGO&Q.APRIL 
AND JULIO'S.APRIL IS 11.11.APRIL'S.11.JU
LIO IS 26.JULIO'S.26.26.&V.APRIL AND JUL
IO'S.APRIL IS 11 NOW AND &V YEARS AGO, S
HE WAS `11-&V' YEARS OLD..11-&V.JULIO IS
 26 NOW AND &V YEARS AGO, HE WAS `26-&V'
 YEARS OLD..26-&V.APRIL'S.JULIO'S.4 TIME
S.JULIO WAS 4 TIMES AS OLD AS APRIL..4.4
.11-&V.4.26-&V."11" AND "-&V" BY "4".6.6
.HOW MANY YEARS AGO.6, `6' YEARS AGO, JU
LIO WAS 4 TIMES AS OLD AS APRIL..6.6.APR
IL'S.APRIL'S."11-&V".SHE WAS 11-6, OR `5
' YEARS OLD..5.JULIO'S.JULIO'S AGE THEN 
WAS "26-&V", SO HE WAS 26-6, OR `20' YEA
RS OLD..20.4.APRIL'S.JULIO'S.@FDAN IS 20
 AND TOM IS 27. HOW MANY YEARS AGO WAS T
OM TWICE AS OLD AS DAN?.DAN.TOM.&QDAN IS
 20&Q&QTOM IS 27&Q&QTWICE AS OLD&Q.&HHOW
 MANY YEARS AGO&H?.DAN AND TOM'S.DAN IS 
20.20.DAN'S.20.TOM IS 27.TOM'S.27.27.&V.
DAN AND TOM'S.DAN IS 20 NOW AND "&V" YEA
RS AGO, HE WAS `20-&V' YEARS OLD..20-&V.
TOM IS 27 NOW AND "&V" YEARS AGO, HE WAS
 `27-&V' YEARS OLD..27-&V.DAN'S.TOM'S.TW
ICE AS OLD.TOM WAS &HTWICE&H AS OLD AS D
AN..2.2.20-&V.2.27-&V."20" AND "-&V" BY 
"2".13.13.HOW MANY YEARS AGO.13, `13' YE
ARS AGO TOM WAS TWICE AS OLD AS DAN..13.
13.DAN'S.DAN'S."20-&V".HE WAS 20-13, OR 
`7' YEARS OLD..7.TOM'S.TOM'S AGE THEN IS
 "27-&V", SO HE WAS 27-13, OR `14' YEARS
 OLD..14.2.DAN'S.TOM'S.@FANDREW IS 11 AN
D MATT IS 15. HOW MANY YEARS AGO WAS MAT
T THREE TIMES AS OLD AS ANDREW?.ANDREW.M
ATT.&QANDREW IS 11&Q&QMATT IS 15&Q&QTHRE
E TIMES AS OLD&Q.&HHOW MANY YEARS AGO&H?
.ANDREW AND MATT'S.ANDREW IS 11.11.ANDRE
W.11.MATT IS 15.MATT'S.15.15.&V.ANDREW A
ND MATT'S.ANDREW IS 11 NOW AND "&V" YEAR
S AGO HE WAS `11-&V' YEARS OLD..11-&V.MA
TT IS 15 NOW AND "&V" YEARS AGO HE WAS `
15-&V' YEARS OLD..15-&V.ANDREW'S.MATT'S.
THREE TIMES AS OLD.MATT WAS THREE TIMES 
AS OLD AS ANDREW..3.3.11-&V.3.15-&V.11 A
ND -&V BY 3.9.9.HOW MANY YEARS AGO.9, `9
' YEARS AGO MATT WAS THREE TIMES AS OLD 
AS ANDREW..9.9.ANDREW'S.ANDREW'S."11-&V"
.HE WAS 11-9, OR `2' YEARS OLD..2.MATT'S
.MATT'S AGE THEN IS "15-&V", SO HE WAS 1
5-9, OR `6' YEARS OLD..6.3.ANDREW'S.MATT
'S.@FSUZY IS 1 YEAR OLD AND DEBBIE IS 16
. IN HOW MANY YEARS WILL DEBBIE BE 6 TIM
ES AS OLD AS SUZY?.SUZY.DEBBIE.&QSUZY IS
 1 YEAR OLD&Q&QDEBBIE IS 16&Q&QDEBBIE WI
LL BE 6 TIMES AS OLD AS SUZY&Q.&HIN HOW 
MANY YEARS&H?.SUZY AND DEBBIE'S.SUZY IS 
1 YEAR OLD.1.SUZY'S.1.DEBBIE IS 16.DEBBI
E'S.16.16.&V.SUZY AND DEBBIE'S.SUZY IS 1
 NOW AND IN &V YEARS, SHE WILL BE `1+&V'
 YEARS OLD..1+&V.DEBBIE IS 16 NOW AND IN
 &V YEARS, SHE WILL BE `16+&V' YEARS OLD
..16+&V.SUZY'S.DEBBIE'S.6 TIMES AS OLD.&
HDEBBIE WILL BE 6 TIMES AS OLD AS SUZY&H
..6.6.1+&V.6.16+&V."1" AND "&V" BY "6".2
.2.IN HOW MANY YEARS.2, IN `2' YEARS DEB
BIE WILL BE 6 TIMES AS OLD AS SUZY..2.2.
SUZY'S.SUZY'S."1+&V".SHE WILL BE 1+2, OR
 `3' YEARS OLD..3.DEBBIE'S.DEBBIE'S AGE 
THEN IS "16+&V", SO SHE WILL BE 16+2, OR
 `18' YEARS OLD..18.3.SUZY'S.DEBBIE'S.@F
TODD IS 8 AND VANESSA IS 18 YEARS OLD. H
OW MANY YEARS AGO WAS VANESSA THREE TIME
S AS OLD AS TODD?.TODD.VANESSA.&QTODD IS
 8&Q&QVANESSA IS 18&Q&QTHREE TIMES AS OL
D&Q.&HHOW MANY YEARS AGO&H?.TODD AND VAN
ESSA'S.TODD IS 8.8.TODD'S.8.VANESSA IS 1
8 YEARS OLD.VANESSA'S.18.18.&V.TODD AND 
VANESSA'S.TODD IS 8 NOW AND "&V" YEARS A
GO, HE WAS `8-&V' YEARS OLD..8-&V.VANESS
A IS 18 NOW AND "&V" YEARS AGO, SHE WAS 
`18-&V' YEARS OLD..18-&V.TODD'S.VANESSA'
S.THREE TIMES AS OLD.VANESSA WAS 3 TIMES
 AS OLD AS TODD..3.3.8-&V.3.18-&V."8" AN
D "-&V" BY "3".3.3.HOW MANY YEARS AGO.3,
 `3' YEARS AGO VANESSA WAS 3 TIMES AS OL
D AS TODD..3.3.TODD'S.TODD'S."8-&V".HE W
AS 8-3, OR `5' YEARS OLD..5.VANESSA'S.VA
NESSA'S AGE THEN IS "18-&V", SO SHE WAS 
18-3, OR `15' YEARS OLD..15.3.TODD'S.VAN
ESSA'S.@FJIMISE IS 15 AND ANDY IS 53 YEA
RS OLD. IN HOW MANY YEARS WILL ANDY BE 3
 TIMES AS OLD AS JIMISE?.JIMISE.ANDY.&QJ
IMISE IS 15&Q&QANDY IS 53&Q&Q3 TIMES AS 
OLD&Q.&HIN HOW MANY YEARS&H?.JIMISE AND 
ANDY'S.JIMISE IS 15.15.JIMISE'S.15.ANDY 
IS 53 YEARS OLD.ANDY'S.53.53.&V.JIMISE A
ND ANDY'S.JIMISE IS 15 NOW AND IN "&V" Y
EARS SHE WILL BE `15+&V' YEARS OLD..15+&
V.ANDY IS 53 NOW AND IN "&V" YEARS HE WI
LL BE `53+&V' YEARS OLD..53+&V.JIMISE'S.
ANDY'S.3 TIMES AS OLD.ANDY WILL BE 3 TIM
ES AS OLD AS JIMISE..3.3.15+&V.3.53+&V."
15" AND "&V" BY "3".4.4.IN HOW MANY YEAR
S.4, IN `4' YEARS ANDY WILL BE 3 TIMES A
S OLD AS JIMISE..4.4.JIMISE'S.JIMISE'S."
15+&V".SHE WILL BE 15+4, OR `19' YEARS O
LD..19.ANDY'S.ANDY'S AGE THEN IS "53+&V"
, SO HE WILL BE 53+4, OR `57' YEARS OLD.
.57.THREE.JIMISE'S.ANDY'S.|S
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