GMAT Quantitative Reasoning Practice Test 1

Question : 33 of 100

Marks: +1, -0

The sum of the ages of 22 boys and 24 girls is 160 . What is the sum of ages of one boy plus one girl, if all the boys are of the same age and all the girls are of the same age, and only full years are counted?

Validate

Solution:

Changing the equality:

22 X+24 Y=160

, we get:

X=\;{80-12 Y}/{11}

Since

X

must be a positive integer,

Y

must be smaller than 7 . The numerator will be

11,22,33,44

etc.

Y

must be 3 and

X=3 . X+Y=7

Go to Question:

Prev Question

Next Question