let me find out it, if something is wrong.

Back soon

\(B=A+(\frac{A}{4})\)

\(B=\frac{5A}{4}\)

\(\frac{A}{B}=\frac{5n}{4n}\)

The TOTAL amount of money must be a multiple of \(9n (5n+4n)\). So 54 and 72 work.

Done

B = (5/4 )* A
A+B = A + (5/4) * A = (9/4)* A , now put the values, the answer is 54 and 72 only

May someone help me find out what is my mistake ?

B=1.25A
So, the sum is A+1.25A=2.25A
so the answer must be divided by 2.25 and give us an integer. The correct answer is 72. But wrong.

If Beth has 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?

the question is asking about combined value of the 2 people, Total = B+A ==>(1)
B alone = A+1/4A ==> B= 5/4A==>(2)
Substitute b with the first equation ==> Total= 5/4A+A==> Total = 9/4A
the only answers is 54 and 72

The correct ans is B and C. Both 54 and 72 when divided by 2.25 gives an integer value.

B = A + A/4 = 5A/4

A + B = A + 5A/4 = 9A/4

Total = 9A/4 = 9/4 * A

The least possible value of A is 4 to make the total value an integer.
So, Total = 9/4 * 4 = 9. The answer will be 9 or the multiples of 9.

Ans: B, C

Hello from the GRE Prep Club BumpBot!

Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.