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      Question

      Five years ago, the ratio of ages of 'A' and 'B' was 4:5.

      Seven years from now, their age ratio will be 5:6. Find the present age of 'Y' who is 6 years younger than 'B'.
      A 18 yrs Correct Answer Incorrect Answer
      B 24 yrs Correct Answer Incorrect Answer
      C 59 yrs Correct Answer Incorrect Answer
      D 37 yrs Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      ATQ,

      Let the age of 'A' and 'B', five years ago be '4a' and '5a' years, respectively.

      So, (4a + 5 + 7) : (5a + 5 + 7) = 5 : 6

      Or, 6 ├Ч (4a + 12) = 5 ├Ч (5a + 12)

      Or, 24a + 72 = 25a + 60

      Or, a = 12

      Required age = 5 ├Ч 12 + 5 - 6 = 59 years

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