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ExamsIBPS POQuantitative Aptitude

When Rony was born, the ratio of his father's age to his grandfather's age was 7:15. After 4 years, the ratio of Rony's age to his grandfather's age was 1:16. The mother was 22 years old at Rony's birth. Find the ratio of the father's age to the mother's age at Rony's birth.

  1. 16:11
  2. 14:11
  3. 11:14
  4. 13:11

Correct answer: 14:11

Solution

Let Rony’s age at birth be 0. After 4 years, Rony’s age is 4 and this is 1/16 of the grandfather’s age, so grandfather’s age then is 64 and at birth it was 60. At Rony’s birth, father:grandfather = 7:15, so father’s age = 60 × 7/15 = 28. Mother’s age = 22, hence father:mother = 28:22 = 14:11.

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