Question

The l.c.m and h.c.f of two numbers is 9 times their HCF. The sum of LCM and HCF is 500. Find the HCF of two numbers.​

Answer 1

Correct question:

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

Answer:

The HCF of two numbers is 50.

Step-by-step explanation:

let the H.C.F of the two numbers = x

let the L.C.M of the two numbers = y

y = 9x -------equation (1)

y + x = 500 -------- equation (2)

y = 500 - x

Substitute in the value of y in equation (1)

500 - x = 9x

500 = 9x + x

500 = 10x

x = 500 / 10

x = 50

Therefore, the HCF of two numbers is 50.