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# A and B have a total of \$220 between them. Find the amount with A?

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Manager
Joined: 05 Oct 2017
Posts: 65
GMAT 1: 560 Q44 V23
A and B have a total of \$220 between them. Find the amount with A?  [#permalink]

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Updated on: 10 Oct 2018, 19:24
2
00:00

Difficulty:

95% (hard)

Question Stats:

36% (02:46) correct 64% (01:34) wrong based on 55 sessions

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A and B have a total of \$220 between them. Find the amount with A?

1) If A gives \$5 to B, the difference of the amounts with A and B will be \$10.
2) If B gives \$10 to A, the difference of the amount with them will be \$20.

_________________

It’s not that I’m so smart, it’s just that I stay with problems longer. -- Albert Einstein

Originally posted by aa008 on 10 Oct 2018, 09:19.
Last edited by chetan2u on 10 Oct 2018, 19:24, edited 1 time in total.
Updated topic name and OA
Math Expert
Joined: 02 Aug 2009
Posts: 7334
Re: A and B have a total of \$220 between them. Find the amount with A?  [#permalink]

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10 Oct 2018, 19:22
1
A and B have a total of \$220 between them. Find the amount with A?

1) If A gives \$5 to B, the difference of the amounts with A and B will be \$10.
A+B=220..
Now A=A-5 and B =B+5
A-5-(B+5)=10....A-B=20 so A=120 and B=100
But it could be B+5-A+5=10.....B=A=110
Insufficient

2) If B gives \$10 to A, the difference of the amount with them will be \$20.
A+B=220..
Now A=A+10 and B =B-10
A+10-(B-10)=20....A-B=0 so A= B=110
But it could be B-10-A-10=20.....B-A=40, so B=130 and A=90
Insufficient

Combined
A=B=110
Sufficient

C

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1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html
4) Base while finding % increase and % decrease : https://gmatclub.com/forum/percentage-increase-decrease-what-should-be-the-denominator-287528.html

GMAT Expert

Re: A and B have a total of \$220 between them. Find the amount with A?   [#permalink] 10 Oct 2018, 19:22
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# A and B have a total of \$220 between them. Find the amount with A?

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