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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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