Question

If the LCM of two number is 45 times their HCF and the sum of LCM and HCF is 1150 then hcf =

Answer 1

Answer:

Let the lcm be x and hcf be y and the other number be z.

Given lcm of 2 numbers is 45 times their hcf, the sum of HCF + LCM is 1150.

y = 45x. ---- (1)

x + y = 1150 --- (2)

Substitute equation (1) in (2), we get

46x = 1150

x = 25.

Substitute x = 25 in (1), we get

y = 45 * 25 = 1125.

We know that product of two numbers = LCM * HCF

125 * z = 25 * 1125

z = 25 * 1125/125

= 225.

The other number = 225.

Answer 2

Answer:

$x = 25$

the value is hcf