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    4 years ago, the respective ratio between 1/2 of A's age at that time and four times of B's age at that time was 5:12. Eight years hence, 1/2 of A's age at time will be less than B's age at that time by 2 years. What is B's present age

  • 10 years
  • 14 years
  • 12 years
  • 5 years
  • 8 years
  • Explanation:

    Let the present age of A = x years

    Let the present age of B = y years

    According to question,

    x-4/2รท4(y-4) = 5/12

    3x-12=10y-40

    3x-10y=-28

    y+8-x+8/2=2

    2y-x= -4

    On solving eq. (i) and (ii),

    x=24, y=10

    Present age of B = 10 years