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      Question

      In a family, the present ages of A, B and C satisfy the

      following conditions: I) The sum of the ages of A and B is 48 years. II) The sum of the ages of B and C is 40 years. III) The sum of the ages of A and C is 44 years. What will be the average age of A, B and C together after 6 years?
      A 32 yrs Correct Answer Incorrect Answer
      B 28 yrs Correct Answer Incorrect Answer
      C 47 yrs Correct Answer Incorrect Answer
      D 35 yrs Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      ATQ, Let present ages be A, B, C. Given: A + B = 48 …(1) B + C = 40 …(2) A + C = 44 …(3) Add all three equations: (A + B) + (B + C) + (A + C) = 48 + 40 + 44 2(A + B + C) = 132 A + B + C = 66 So present total age = 66 years. After 6 years, each grows by 6 years: New total age = 66 + 3×6 = 66 + 18 = 84 Average age after 6 years = 84 / 3 = 28 years

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