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    Question

    The difference between the ages of two daughters is 8

    years. 12 years ago, the elder one was twice as old as the younger one. The present age of the elder daughter is:
    A 28 years Correct Answer Incorrect Answer
    B 26 years Correct Answer Incorrect Answer
    C 24 years Correct Answer Incorrect Answer
    D 22 years Correct Answer Incorrect Answer

    Solution

    ATQ, Let the present age of the younger daughter be ( y ). Therefore, the present age of the elder daughter is ( y + 8 ). ATQ, 12 years ago, the elder one was twice as old as the younger one. We can formulate this as: [ (y + 8) - 12 = 2(y - 12) ] Solving the equation: [ y - 4 = 2y - 24 ] [ 24 - 4 = 2y - y ] [ 20 = y ] Now that we know the younger daughter’s present age (( y = 20 )), we can find the elder daughter’s age: [ y + 8 = 20 + 8 ] [ y + 8 = 28 ] So, the present age of the elder daughter is 28 years.

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