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Exam Pattern Mix Question 32 – answer, explanation & discussion

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Question 32 Back to Exercise

The sum of two numbers is 9 and the difference of their squares is 27. What is the larger number?

  • A 6 Correct
  • B 3
  • C 5
  • D 7
Correct Answer: Option A

a² − b² = (a + b)(a − b) = 27

9(a − b) = 27 → a − b = 3

Larger = (9 + 3) ÷ 2 = 6

Answer: 6

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