Question

Lcm of 2 nos is 10 times its hcf if hcf+lcm=495 and one no is 90 then find the other no

Answer 1

Answer:

225

Step-by-step explanation:

Let the other number be x.

Given,

one number = 90.

LCM = 10 * HCF --------------- [1]

HCF + LCM = 495 ----------- [2]

Substitute [1] in [2]

=> 11 HCF = 495

=> HCF = 495/11

=> LCM = 10 * HCF = 10 * 495/11 = 4950/11

We know that, Product of two numbers = HCF * LCM.

90 * x =  495/11 * 4950/11

=> x = (495 * 4950) / (121 * 90)

=> x = 225.