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Problems on Ages · Discussion forum

Hard Level Question 31 – answer, explanation & discussion

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Question 31 Back to Exercise

A's present age equals the sum of the present ages of B and C. Ten years ago, A's age was double the sum of B's and C's ages then. How old is A?

  • A 20 years
  • B 40 years
  • C 30 years Correct
  • D 25 years
Correct Answer: Option C

a = b + c

Ten years ago: a − 10 = 2[(b − 10) + (c − 10)] = 2(a − 20)

a − 10 = 2a − 40 → a = 30

Answer: 30 years

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