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    Question

    At present, Peter is Seven years younger than Adam. Adam’s age twenty years hence will be equal to thrice that of peter Five years ago. What will be the sum of their present age?

    A 49 years Correct Answer Incorrect Answer
    B 34 years Correct Answer Incorrect Answer
    C 42 years Correct Answer Incorrect Answer
    D 26 years Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    Let Adam’s age = x Peter’s age = (x-7) 20 years hence, Adam’s age = (x+ 20) years 5 years ago, Peter’s age = x-7- 5 = (x- 12) years Now, (x+20) = 3 (x-12) x+ 20= 3x - 36 2x = 56 x= 56/2 = 28 years Hence, Adam = 28 years Peter = 28 - 7 = 21 years Sum of the present ages of Adam and Peter = 28 + 21 = 49 years

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