Question

The sum of two numbers is 18 and the difference of their squares is 108 find the difference between the numbers

Answer 1

Answer:

Step-by-step explanation:

Let the two numbers be X and Y.

As given in the problem.

X+Y=18---------(1)

Also, (X+Y) (X-Y)=108----------(2)

Solving (1) in (2), we get

X-Y=6----(3)

Solving (1) and (3), we get X=12 and Y=6

Answer 2

Let the two numbers be x and y; then,

x+y = 18 .....(i)

x^2 - y^2 = 108 .....(ii)

We know, x^2 - y^2 = (x+y)(x-y)

Thus, x-y = 108/18 = 6

Hence, the answer is 6.