Question

The LCM of two numbers is 14 time there HCF. The sum of LCM and HCF is 600. If one number is 280,find the other number.

Answer 1

hey there,

let the HCF of the numbers be x.

the LCM of the numbers = 14x

the sum of the HCF and LCM = 600

HCF of the numbers = 40 and 

LCM of the numbers = 14*40 = 560

one number = 280, let the other number be y.

HCF * LCM = product of two numbers 

thus the other number is 80.

Hope this helps!