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  • Question
  • The average age of two boys and their father is greater then average age of those two boys and their mother by 3 yr. The average age of the four is 19 yr. If the average age of the two boys be 5 1/ 2, then find the age of the father and mother.


  • Options
  • A. 37 yr and 28 yr
  • B. 47 yr and 38 yr
  • C. 50 yr and 41 yr
  • D. 35 yr and 32 yr

  • Correct Answer
  • 37 yr and 28 yr 

    Explanation

    Let the ages of mother, father and boys be M, F, B1 and B2, respectively.
    The total age of four member
    = 19 x 4
    = 76 yr.

    Given (B1 + B1)/2 = 11/2
    ? B1 + B2 = 11
    M + F + B1 + B2 = 76 - 11
    ? M + F = 65 .......(i)

    According to the question,
    (B1 + B2 + F) / 3 = (B1 + B2 + M) / 3 + 3
    ? B1 + B2 + F) = B1 + B2 + M + 9
    ? F = M + 9
    ? F - M = 9 ............. (ii)

    From Eqs (i) and (ii), we get
    F = 37 yr and M = 28 yr


  • More questions

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    • 2. 
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