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Diagram-Based Questions Question 2 – answer, explanation & discussion

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Question 2 Back to Exercise

Two numbers are in the ratio 3 : 5, as the bar model shows. Their difference is 28.

Numbers in the ratio 3 : 5
SmallerLargerLarger − Smaller = 28

What is the sum of the two numbers?

  • A 112 Correct
  • B 70
  • C 56
  • D 140
Correct Answer: Option A

Difference = 2 blocks = 28 → 1 block = 14

Sum = 8 blocks = 112 (42 + 70)

Trap: 70 is only the larger number.

Answer: 112

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