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3 years ago

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.

Mathematics

1 answer:

yuradex [85]3 years ago

7 0

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.

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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.​

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.