At present, the respective ratio between the ages of A and B is 3:4 and that between A and C is 1:2. Six years hence, the sum of A, B and C will be 96 years. What is the present age sum of A,B and C will be 96 years. What is the present age of A

  • 12 years
  • 21 years
  • 18 years
  • 15 years
  • 9 years
  • Explanation:

    A:B=3:4

    B:A=4:3

    A:C=1:2

    A:B:C=3:4:6

    Let the present ages of A,B and C are 3x,4x and 6x respectively.

    According to question,

    3x+4x+6x+6+6+6=96

    13x=78

    x=6

    ∴ Present age of A = 3x

    = 3×6

    =18 years

At present, the respective ratio between the ages of A and B is 3:4 and that between A and C is 1:2.
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