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Problems on Ages · Discussion forum

Diagram-Based Questions Question 9 – answer, explanation & discussion

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Question 9 Back to Exercise

The chart shows a father and his two sons.

Present ages (years)
46Father16Elder son12Younger son

After how many years will the father’s age equal the sum of his sons’ ages?

  • A 9
  • B 14
  • C 18 Correct
  • D 28
Correct Answer: Option C

After t years: 46 + t = (16 + t) + (12 + t)

46 + t = 28 + 2t → t = 18

Trap: 9 forgets that both sons age, so the sum grows by 2 a year.

Answer: 18

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