Question

The LCM of two numbers is 9 times their HCF . The sum of LCM and HCF is 500. Find the HCF.
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Answer 1

let hcf be x

let lcm be 9x

x+9x=10x=500

x=50

so, hcf =50, lcm=450

Answer 2

Answer:

let x be the HCF and 9x be LCM and HCF 500

9x+x=500

10x=500

x=50

The HCF is 50