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The LCM of two numbers is 4 times their HCF. The sum of LCM and HCF is 125. If one of the number is 100, then the other number is :

August 12, 2016 Quiz Questions

The LCM of two numbers is 4 times their HCF. The sum of LCM and HCF is 125. If one of the number is 100, then the other number is :
[A]5
[B]25
[C]100
[D]125

25
Let LCM be L and HCF be H, then L = 4H (Given)
\therefore H + 4H = 125
=> 5H = 125
=> H = 25
\therefore L = 4 \times 25 = 100
\therefore Second\ Number\ = \frac{L\times H}{First Number}
= \frac{100\times 25}{100} = 25
Hence option [B] is correct answer.

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