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    Question

    The average age of three children in a family is 35% of

    the average of the age of father and the eldest child. The total age of the mother and the younger child is 43 years. If the father’s age is 32 years, what is the age of the second child?
    A 20 years Correct Answer Incorrect Answer
    B 18 years Correct Answer Incorrect Answer
    C 15 years Correct Answer Incorrect Answer
    D cannot be determined Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    We are here given by the average age of three children in a family is 35% of the average of of the father and the eldest child Therefore, let us suppose the age of the three children be a, b , c And the average would be  = (a+b+c)/3 = 35/100×(28+c)/2 = (a+b+c)/3 = (32+c)/8……………..(i) Let us suppose that the age of mother is b,  So given condition that the b + a = 43. But from this we cannot determined the value of b .

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