HCF & LCM · Question 15 · Hard

The sum of two numbers is 528 and their HCF is 33. How many such pairs of numbers are possible?

  1. 4
  2. 2
  3. 3
  4. 5
Answer and explanation

Answer: A. 4

Explanation: Let the numbers be 33a and 33b with a, b co-prime and a + b = 16. Co-prime pairs: (1, 15), (3, 13), (5, 11), (7, 9), so there are 4 pairs.

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