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Total age of x and y is 15 years more than the sum of the ages of y and z. What is the value of (x - z) ?
Question

Total age of x and y is 15 years more than the sum of the ages of y and z. What is the value of (x - z) ?

A.

10

B.

9

C.

12

D.

15

Correct option is D

Given:
The total age of x and y is 15 years more than the sum of the ages of y and z.
Solution:
The sum of the ages of x and y is x + y.
The sum of the ages of y and z is y + z
According to the Question:
x + y = (y + z) + 15
x + y = y + z + 15
x = z + 15
Therefore:
x - z = 15

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