Question

The difference between the squares of two numbers is 8.

Twice the square of the first number increased by the square of the second number is 19.

Find the numbers.

Answer 1

We can let number as x and y.

So difference of their square is 8.

So we can write:

.........................................(i)

We can write second equation as:

From equation (i)

From equation (i) we have:

So numbers are and