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# If Beth has more money than Ari, and each person has an inte

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If Beth has more money than Ari, and each person has an inte [#permalink]  19 Aug 2018, 03:17
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Question Stats:

15% (01:51) correct 84% (00:56) wrong based on 13 sessions
If Beth has $$\frac{1}{4}$$ MORE money than Ari, and each person has an integer number of dollars, which of the following could be the combined value of Beth and Ari's money?

Indicate all such values.

A. $12 B.$54
C. $72 D.$200
[Reveal] Spoiler: OA

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Last edited by Carcass on 25 Mar 2020, 14:54, edited 1 time in total.
Updated
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Re: If Beth has more money than Ari, and each person has an inte [#permalink]  19 Aug 2018, 06:58
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sandy wrote:
If Beth has more money than Ari, and each person has an integer number of dollars, which of the following could be the combined value of Beth and Ari’s money?

Indicate all such values.

A. $12 B.$54
C. $72 D.$200

I think something else is required to ans the question. As it is it can be any combination for getting the four options. such as 1+11, 1+53, 2+70, 99 + 101
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Re: If Beth has more money than Ari, and each person has an inte [#permalink]  25 Mar 2020, 14:39
Any updates on this? No way the answer is correct per the question.
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Re: If Beth has more money than Ari, and each person has an inte [#permalink]  25 Mar 2020, 14:51
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let me find out it, if something is wrong.

Back soon
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Founder
Joined: 18 Apr 2015
Posts: 10110
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Kudos [?]: 2503 [0], given: 9500

Re: If Beth has more money than Ari, and each person has an inte [#permalink]  25 Mar 2020, 14:55
Expert's post
$$B=A+(\frac{A}{4})$$

$$B=\frac{5A}{4}$$

$$\frac{A}{B}=\frac{5n}{4n}$$

The TOTAL amount of money must be a multiple of $$9n (5n+4n)$$. So 54 and 72 work.
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Re: If Beth has more money than Ari, and each person has an inte [#permalink]  25 Mar 2020, 14:56
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Done
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Re: If Beth has more money than Ari, and each person has an inte   [#permalink] 25 Mar 2020, 14:56
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