Question

The LCM of two numbers is 9 times their HCF. The sum of LCM and HCF is 500. Find their HCF.

Answer 1

Given: LCM = 9 × HCF; LCM + HCF = 500.

Let HCF = h.

Then LCM = 9h.

Sum: 9h + h = 500

⇒ 10h = 500

⇒ h = `500/10`

⇒ h = 50

HCF = 50.