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Problems on Ages · Discussion forum

Hard Level Question 16 – answer, explanation & discussion

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Question 16 Back to Exercise

A father's age is his son's age with the digits reversed. Their ages add up to 99 and differ by 27. How old is the father?

  • A 36 years
  • B 72 years
  • C 54 years
  • D 63 years Correct
Correct Answer: Option D

Father = 10a + b, son = 10b + a

Sum: 11(a + b) = 99 → a + b = 9

Difference: 9(a − b) = 27 → a − b = 3

a = 6, b = 3 → father 63, son 36

Answer: 63 years

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