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      Question

      Present age of A is 50% more than that of B. Present age

      of C, who is 6 years older than B, is 24 years. After how many years from now, ratio of ages of A to B will become 11:8?
      A 10 Correct Answer Incorrect Answer
      B 6 Correct Answer Incorrect Answer
      C 2 Correct Answer Incorrect Answer
      D 5 Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      ATQ, Present age of B = 24 - 6 = 18 years
      Present age of A = 1.5 Γ— 18 = 27 years
      Let the required time be T years.
      So, (27 + T) : (18 + T) = 11 : 8
      Or, 8 Γ— (27 + T) = 11 Γ— (18 + T)
      Or, 216 + 8T = 198 + 11T
      Or, 3T = 18
      Or, T = 6

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