Question

the lCM of two numbers is 9 times their HCF.the sum of LCM and HCF is 500 find the HCF​

Answer 1

lcm = 9 × hcf

lcm + hcf = 500 ...........eq 1

putting the value lcm in eq 1

9×hcf +hcf = 500

10 hcf = 500

hcf = 500/10

= 50

Answer 2

Answer:

Let x be the HCF and 9x be the LCM. So,

Sum of LCM and HCF =500

9x+x=500

10x=500

LCM = 450, HCF = 50