Question

the hcf of two number is 2 and their lcm is 154.if the difference between the numbers is 8, the sum is

Answer 1

Let the two numbers be x1 and x2

X2-X1=8 X2=X1+8

Hcf =2 and Lcm = 154

We know that  

X1*X2=Hcf*Lcm

X1*(X1+8)=2*154

X1^2+8x1-308=0