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 :

25
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.