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      Question

      Six years ago, the ratio of the ages of Amit and Sumit was

      5:6 respectively. Ten years hence, their age ratio will be 7:8. What is the current age of Sumit?
      A 42 yrs Correct Answer Incorrect Answer
      B 54 yrs Correct Answer Incorrect Answer
      C 20 yrs Correct Answer Incorrect Answer
      D 45 yrs Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      ATQ,

      Let the ages of Amit and Sumit 6 years ago be '5x' and '6x' respectively.

      So, age of Amit after 10 years = 5x + 6 + 10 = (5x + 16) years

      And, age of Sumit after 10 years = 6x + 6 + 10 = (6x + 16) years

      ATQ,

      (5x + 16) / (6x + 16) = 7 / 8

      ⇒ 8(5x + 16) = 7(6x + 16)

      ⇒ 40x + 128 = 42x + 112

      ⇒ 16 = 2x

      ⇒ x = 8

      So, present age of Sumit = 6 × 8 + 6 = 54 years

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