Q. 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 :
Answer: 25
Notes: Let LCM be L and HCF be H, then L = 4H (Given) $latex \therefore H + 4H = 125$ $latex => 5H = 125$ $latex => H = 25$ $latex \therefore L = 4 \times 25 = 100$ $latex \therefore Second\ Number\ = \frac{L\times H}{First Number}&s=1$ $latex = \frac{100\times 25}{100} = 25&s=1$ Hence option [B] is correct answer.

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