Question

What is the product of two numbers if sum of LCM and HCF of these number is 26 and difference between them is 22

Answer 1

Let the L.C.M be x and H.C.F be y

Then,

ATQ

x+y = 26..........(i)

x-y = 22...........(ii)

Adding i and ii we get

2x = 48

x = 24

Putting the value in equation (i)

y = 26 - 24

y = 2

product of two number = 48