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If both A and B are 2-digit positive even numbers, what is

Problem Solving — algebra and arithmetic (GMAT Focus Edition)
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by Jay@ManhattanReview » Wed Aug 01, 2018 5:35 am
BTGmoderatorRO wrote:If both A and B are 2-digit positive even numbers, what is the value of A?

(1) Ratio of A to B is 1:9
(2) B-A=80
Given: A and B are 2-digit positive even numbers
Question: What is the value of A?

Let's take each statement one by one.

(1) Ratio of A to B is 1:9.

A can be 10 (minimum value of a 2-digit positive even number). With A = 10, B = 90 (valid 2-digit positive even number).
A cannot be 11 since it is not an even number.
A cannot be 12 or greater since at A = 12, B = 108 ≠ 2-digit number. Thus, A = 10. Sufficient.

(2) B - A = 80

A can be any number among 10/12/14/16/18. With A = 10/12/14/16/18, B = 90/92/94/96/98 (valid 2-digit positive even numbers).

No unique value can be found.

The correct answer: A

Hope this helps!

-Jay
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