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Problems on Ages · Discussion forum

Diagram-Based Questions Question 3 – answer, explanation & discussion

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Question 3 Back to Exercise

The present ages of A and B are in the ratio 4 : 7, written as 4k and 7k in the grid. In 8 years the ratio will be 5 : 8.

Ratio now and in 8 years
NowIn 8 yearsA4k4k + 8B7k7k + 8

How old is B now?

  • A 56 Correct
  • B 32
  • C 64
  • D 40
Correct Answer: Option A

(4k + 8) ÷ (7k + 8) = 5 ÷ 8

32k + 64 = 35k + 40 → k = 8

B = 7 × 8 = 56 (A = 32)

Trap: 32 is A’s age.

Answer: 56

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