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Two numbers add up to 100. Their HCF is 5 and their LCM is 495. By how much do they differ?

Competition practiceNumber System, HCF & LCM

A10
B20
C15
D5

Step-by-Step Solution

Product =

5 \times 495 = 2475

. With sum 100:

(a - b)^{2} = 10 0^{2} - 4 \times 2475 = 100

, so the difference is 10 (the numbers are 55 and 45).

Answer: A) 10

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