HCF & LCM · Question 26 · Medium
The HCF and LCM of two numbers are 5 and 495 respectively, and their sum is 100. What is the difference between the two numbers?
- 20
- 5
- 40
- 10
Answer and explanation
Answer: D. 10
Explanation: Let the numbers be 5a and 5b with a, b co-prime. Then ab = 495/5 = 99 and a + b = 20, so a, b = 9, 11. The numbers are 45 and 55, and their difference is 10.
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