Question

The hcf and lcm of two numbers are 12 and 2448 respectively. if the difference of the numbers is 60, then the sum of the numbers is

Answer 1

let a & b are two numbers. ......where>b
a-b=60
we know that
a*b= lcm*hcf
a*b=12*2448
= 29376
a+b=(a-b)^2+2ab
60^2+29376
=3600+29376
=32976