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

NUMB1L4

FILE INFORMATION

FILENAME(S): NUMB1L4

FILE TYPE(S): PRG

FILE SIZE: 7.1K

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

APPEARS ON: 1 disk(s)

FILE HASH

55967b30f9f41c17ec21cc57dd94443df70fd6fd4d80f1bb9db30638fc0dfb20

FOUND ON DISKS (1 DISKS)

DISK TITLE FILENAME FILE TYPE COLLECTION TRACK SECTOR ACTIONS
HHM 100785 41S2 NUMB1L4 PRG Radd Maxx 9 9 DOWNLOAD FILE

FILE CONTENT & ANALYSIS

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00001C00: 31 30 00 49 6E 74 65 67  65 72 20 43 20 3D 20 31  |10.Integer C = 1|
00001C10: 31 30 2B 34 2C 20 6F 72  20 60 31 31 34 27 00 31  |10+4, or `114'.1|
00001C20: 31 34 00 31 31 30 2B 31  31 30 2B 32 2B 31 31 30  |14.110+110+2+110|
00001C30: 2B 34 3D 33 33 36 00 33  33 36 3D 33 33 36 00 33  |+4=336.336=336.3|
00001C40: 33 36 3D 33 33 36 00 33  33 36 3D 33 33 36 00 7C  |36=336.336=336.||
00001C50: FF                                                |.               |
 A ..@Q{}@DG07&C(1,{})&C(2,{})&C(3,{})@R
READ@PREAD THE PROBLEM SLOWLY AND CAREFU
LLY. WHAT IS BEING ASKED?\N  (PRESS ANY 
KEY TO CONTINUE.)@HYOU ARE BEING ASKED T
O FIND {}.@HTHE PROBLEM IS TO {}@I(0)@RP
LAN@PUSING ONE VARIABLE, ENTER EXPRESSIO
NS TO REPRESENT {}@HCHOOSE A VARIABLE TO
 REPRESENT THE {}.@HPICK ANY LETTER, SUC
H AS `{}', TO REPRESENT {}.@I(5,I,&V)@HR
EPRESENT {}, IN TERMS OF {}.@H{}.@I(6,I,
{})@HREPRESENT {}, IN TERMS OF {}.@H{}.@
I(7,I,{})@PTRANSLATE: {}.@H{} IS THE PHR
ASE TO BE TRANSLATED.@H{}.@I(9,C0,{})@PN
OW, TRANSLATE THE REST OF THE PROBLEM. {
}@H"{}" IS THE PHRASE TO BE TRANSLATED.@
HENTER {}@I(9,D0,{})@PONE ANSWER IS: {}.
 CHANGE YOUR ANSWER IF IT IS NOT EQUIVAL
ENT. (PRESS RETURN)@H{}.@H{}@I(9,C0,{})@
PSUBSTITUTE THE EXPRESSIONS FOR {} IN TH
E EQUATION IDEA: {}@H{}. @HENTER {}.@I(1
0,I,{})@S&D(11,{})@RCOMPUTE@PSOLVE THE E
QUATION FOR "&V". USE PAPER AND PENCIL, 
OR USE THE CALCULATOR.@HISOLATE "&V" ON 
ONE SIDE OF THE EQUATION. @HTHE CALCULAT
OR SOLVES EQUATIONS FOR YOU AND DISPLAYS
 THE STEPS IN THE SOLUTION.@I(11,I,&V={}
)@PENTER YOUR ANSWERS TO THE PROBLEM IN 
THE GRID. REMEMBER THE QUESTION. {}@H{} 
IS EQUAL TO THE VALUE OF "&V".@H&V = {},
 SO ENTER `{}'.@I(5,I,{})@H{} IS EQUAL T
O THE VALUE OF {}.@H&V = {}, SO {}.@I(6,
I,{})@H{} IS EQUAL TO THE VALUE OF {}.@H
&V = {}, SO {}.@I(7,I,{})@S@RCHECK&D(0,T
O CHECK YOUR WORK, THE VALUE OF "&V" IS 
SUBSTITUTED IN THE EQUATION.)&D(11,{})@P
SIMPLIFY THE EQUATION WITH THE CALCULATO
R TO MAKE SURE THAT THE TWO SIDES ARE EQ
UAL.@HTHE SIMPLIFIED EQUATION IS {}.@HTH
E SIMPLIFIED EQUATION IS {}.@I(11,I,{})@
S@FONE NUMBER IS 3 LARGER THAN ANOTHER, 
WHILE THE THIRD NUMBER IS 5 LESS THAN TW
ICE THE FIRST. THE SUM OF THE 3 NUMBERS 
IS EQUAL TO 19 LESS THAN 3 TIMES THE THI
RD. WHAT ARE THE 3 NUMBERS?.1ST.2ND.3RD.
&HTHE THREE NUMBERS&H.FIND THE THREE NUM
BERS..THE THREE NUMBERS..SMALLEST NUMBER
.F.THE FIRST NUMBER, SINCE THIS IS THE S
MALLEST NUMBER.THE SECOND NUMBER.(THE FI
RST NUMBER).THE SECOND NUMBER IS &H3 LAR
GER&H THAN THE FIRST, SO `&V+3' REPRESEN
TS THE SECOND NUMBER.&V+3.THE THIRD."&V"
, (THE FIRST NUMBER).&HTHE THIRD NUMBER 
IS 5 LESS THAN TWICE THE FIRST&H, SO `2&
V-5' REPRESENTS THE THIRD NUMBER.2&V-5.&
HTHE SUM OF THE 3 NUMBERS&H. USE `1ST', 
`2ND', AND `3RD' TO REPRESENT THE THREE 
NUMBERS."THE SUM OF THE 3 NUMBERS".`1ST 
+ 2ND + 3RD' REPRESENTS THE SUM OF THE 3
 NUMBERS.1ST + 2ND + 3RD.USE `3RD' TO RE
PRESENT THE THIRD NUMBER.&QIS EQUAL TO 1
9 LESS THAN 3 TIMES THE THIRD&Q.IS EQUAL
 TO 19 LESS THAN 3 TIMES THE THIRD.`=' F
OR "IS EQUAL TO"  AND `3(3RD)-19' FOR "1
9 LESS THAN 3 TIMES THE THIRD." SO ENTER
 `= 3(3RD)-19'.1ST+2ND+3RD=3(3RD)-19.`1S
T+2ND+3RD = 3(3RD)-19'."THE SUM OF THE 3
 NUMBERS IS EQUAL TO 19 LESS THAN 3 TIME
S THE THIRD" TRANSLATES TO `1ST+2ND+3RD=
3(3RD)-19'."THE SUM OF THE 3 NUMBERS IS 
EQUAL TO 19 LESS THAN 3 TIMES THE THIRD"
 TRANSLATES TO `1ST+2ND+3RD=3(3RD)-19'..
1ST+2ND+3RD=3(3RD)-19.1ST, 2ND AND 3RD.1
ST+2ND+3RD=3(3RD)-19.1ST = &V, 2ND = &V+
3 AND  3RD = 2&V-5.`&V+&V+3+2&V-5 = 3(2&
V-5)-19'.&V+&V+3+2&V-5=3(2&V-5)-19.&V+&V
+3+2&V-5=3(2&V-5)-19.16.&QWHAT ARE THE 3
 NUMBERS&Q.THE 1ST NUMBER.16.16.16.THE 2
ND NUMBER.&V+3.16.&V+3 = `19'.19.THE 3RD
 NUMBER.2&V-5.16.2&V-5 = 32-5 OR `27'.27
.16+16+3+2*16-5=3(2*16-5)-19.`62=62'.`62
=62'.62=62.@FFIND 3 CONSECUTIVE EVEN INT
EGERS SUCH THAT 3 TIMES THE FIRST, DECRE
ASED BY THE SECOND IS 42 MORE THAN THE T
HIRD..INT A.INT B.INT C.&HTHREE CONSECUT
IVE EVEN INTEGERS&H.&HFIND 3 CONSECUTIVE
 EVEN INTEGERS&H. (CONSECUTIVE EVEN INTE
GERS ARE SEPARATED BY TWO.).THE THREE CO
NSECUTIVE EVEN INTEGERS..SMALLEST INTEGE
R.S.THE SMALLEST INTEGER, A.THE SECOND I
NTEGER (B).(INTEGER A).SINCE THEY ARE CO
NSECUTIVE EVEN INTEGERS, INTEGER B IS 2 
LARGER THAN INTEGER A. SO, '&V+2' REPRES
ENTS B.&V+2.THE THIRD INTEGER, C."&V", (
INTEGER A).SINCE THEY ARE CONSECUTIVE EV
EN INTEGERS, INTEGER C IS 4 LARGER THAN 
INTEGER A. SO, '&V+4' REPRESENTS C.&V+4.
&H3 TIMES THE FIRST, DECREASED BY THE SE
COND&H. USE A AND B TO REPRESENT THE INT
EGERS.3 TIMES THE FIRST DECREASED BY THE
 SECOND.3 TIMES THE FIRST IS '3A'. DECRE
ASED BY THE SECOND IS '-B'. ENTER '3A-B'
.3A-B.USE C FOR THE THIRD INTEGER. &QIS 
42 MORE THAN THE THIRD&Q.IS 42 MORE THAN
 THE THIRD.'=' FOR &HIS&H AND 'C+42' FOR
 &H42 MORE THAN THE THIRD&H. SO ENTER `=
 C+42'.3A-B=C+42.3A-B = C+42.`3 TIMES TH
E FIRST DECREASED BY THE SECOND IS 42 MO
RE THAN THE THIRD' TRANSLATES TO `3A-B=C
+42'.`3 TIMES THE FIRST DECREASED BY THE
 SECOND IS 42 MORE THAN THE THIRD' TRANS
LATES TO `3A-B=C+42'.3A-B=C+42.A, B, AND
 C.3A-B = C+42.A = &V, B = &V+2 AND C = 
&V+4.'3&V-(&V+2) = &V+4+42'. (YOU NEED P
ARENTHESES AROUND &V+2 BECAUSE THE ENTIR
E QUANTITY IS SUBTRACTED).3&V-(&V+2)=&V+
4+42.3&V-(&V+2)=&V+4+42.48.&QFIND THREE 
CONSECUTIVE EVEN INTEGERS&Q.INT A.48.48.
48.INT B.&V+2.48.&V+2 = '50'.50.INT C.'&
V+4'.48.&V+4 = '52'.52.3*48-(48+2)=48+4+
42.`94=94'.`94=94'.94=94.@FINTEGER B IS 
7 MORE THAN INTEGER A AND INTEGER C IS T
WICE AS LARGE AS INTEGER B. WHAT ARE THE
 NUMBERS IF THEIR SUM IS 45 LESS THAN FI
VE TIMES INTEGER B ?.A.B.C.THE THREE INT
EGERS.FIND INTEGER A, INTEGER B AND INTE
GER C..INTEGERS A, B AND C..SMALLEST INT
EGER.A.INTEGER A.INTEGER B.INTEGER A.&HI
NTEGER B IS 7 MORE THAN INTEGER A&H, SO 
INTEGER B IS `&V+7'.&V+7.INTEGER C."&V+7
", INTEGER B.&HINTEGER C IS TWICE AS LAR
GE AS INTEGER C&H, AND INTEGER B = "&V+7
", SO `2(&V+7)' REPRESENTS INTEGER C.2(&
V+7).&HTHEIR SUM&H. USE "A" , "B" AND "C
" TO REPRESENT INTEGERS A, B AND C.&H TH
EIR SUM&H.`A+B+C' REPRESENTS "THEIR SUM"
.A+B+C.USE "B" TO REPRESENT INTEGER B. &
QIS 45 LESS THAN FIVE TIMES INTEGER B&Q.
IS 45 LESS THAN FIVE TIMES INTEGER B.`='
 FOR "IS" AND `5B-45' FOR "45 LESS THAN 
FIVE TIMES INTEGER B". SO ENTER `= 5B-45
'.A+B+C=5B-45.A+B+C = 5B-45.`A+B+C' REPR
ESENTS "THEIR SUM".`=' FOR "IS"`5B-45' F
OR "45 LESS THAN FIVE TIMES INTEGER B"= 
B-45.A+B+C=5B-45.A, B AND C.A+B+C=5B-45.
A=&V, B=&V+7 AND C = 2(&V+7).`&V+&V+7+2(
&V+7) = 5(&V+7)-45'.&V+&V+7+2(&V+7)=5(&V
+7)-45.&V+&V+7+2(&V+7) = 5(&V+7)-45.31.&
QWHAT ARE THE NUMBERS&Q.INTEGER A.31.31.
31.INTEGER B."&V+7".31.31+7, OR `38' REP
RESENTS INTEGER B.38.INTEGER C."2(&V+7)"
.31.2*38, OR `76' REPRESENTS INTEGER C.7
6.31+38+76 = 5(38)-45.`145=145'.`145=145
'.145=145.@FFIND THREE CONSECUTIVE EVEN 
INTEGERS WHOSE SUM IS 336..INT A.INT B.I
NT C.THREE CONSECUTIVE INTEGERS.THE THRE
E CONSECUTIVE INTEGERS DESCRIBED IN THE 
QUESTION..THE SMALLEST INTEGER..INTEGER 
A, THE SMALLEST INTEGER.S.INTEGER A.INTE
GER B.INTEGER A.SINCE THEY ARE CONSECUTI
VE INTEGERS, INTEGER B IS 2 LARGER THAN 
INTEGER A. SO `&V+2' REPRESENTS INTEGER 
B.&V+2.INTEGER C."&V+2", INTEGER B.SINCE
 THEY ARE CONSECUTIVE INTEGERS, INT C IS
 2 LARGER THAN INT B. SO `&V+2+2' OR `&V
+4' REPRESENTS INT C.&V+4.&HTHREE CONSEC
UTIVE INTEGERS WHOSE SUM&H.`THREE CONSEC
UTIVE INTEGERS WHOSE SUM'.THE WORD "SUM"
 INDICATES ADDITION SO, `A+B+C' REPRESEN
TS THE SUM OF THE THREE INTEGERS.A+B+C.&
QIS 336&Q.IS 336.`=336'.A+B+C=336.A+B+C=
336.`A+B+C=336' SHOWS THAT "THE SUM OF I
NTEGERS A,B AND C IS 336".`A+B+C=336'.A+
B+C=336.A,B AND C.A+B+C=336.A=&V, B=&V+2
 AND C=&V+4.`&V+&V+2+&V+4=336' TO REPRES
ENT "THE SUM OF THE THREE INTEGERS IS 33
6".3&V+6=336.&V+&V+2+&V+4=336.110.&QFIND
 THREE CONSECUTIVE EVEN INTEGERS&Q.INTEG
ER A.110.110.110.INTEGER B."&V+2".110.IN
TEGER B = 110+2, OR `112'.112.INTEGER C.
"&V+4".110.INTEGER C = 110+4, OR `114'.1
14.110+110+2+110+4=336.336=336.336=336.3
36=336.|.
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