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    Question

    The ratio of the present age of mother and son is 11:5.

    5-years ago the father's age was 5 years less than thrice the age of son and 6 years hence the age of mother is 1 year less than twice the age of son. What will be the sum of ages of mother, father and son after 12 years.
    A 156 Correct Answer Incorrect Answer
    B 165 Correct Answer Incorrect Answer
    C 176 Correct Answer Incorrect Answer
    D 196 Correct Answer Incorrect Answer
    E 125 Correct Answer Incorrect Answer

    Solution

    Let the age of mother and sone be 11x and 5x. Father’s age 5 years ago= 3 x (5x-5) - 5 = 15x-20 As per the question, 11x+6 = 2 x (5x+6) -1 11x+7 = 10x+12 x=5 Age of mother and son are 55years and 25years, respectively Age of father 5 years ago = (15x5)-20 = 75-20 = 55 years Present age of father = 60 years Sum of the age of father, mother, and son after 12 years = (60+55+25) +(12+12+12) = 140+36 = 176 years.

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