The sum of two integers is 27. The larger integer is 25% greater than the smaller integer. What is the positive

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Source: Princeton Review

The sum of two integers is 27. The larger integer is 25% greater than the smaller integer. What is the positive difference between the two integers?

A. 3
B. 6
C. 9
D. 12
E. 15

The OA is A

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BTGmoderatorLU wrote:
Sat Jul 02, 2022 12:14 pm
Source: Princeton Review

The sum of two integers is 27. The larger integer is 25% greater than the smaller integer. What is the positive difference between the two integers?

A. 3
B. 6
C. 9
D. 12
E. 15

The OA is A
We can let the smaller integer = n and the larger integer = 1.25n; thus:

n + 1.25n = 27

2.25n = 27

n = 12

Thus, the larger integer is 1.25 x 12 = 15, and the difference between the two integers is 15 - 12 = 3.

Answer: A

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