Question

The larger of the two positive numbers is 8 more than the smaller. The sum of their squares is 104. Find the two numbers.

Answer 1

Hey there!

Let's set up a system of equations to find our answer. We will use x and y, with y being the larger 1.

y=x+8

x²+y²=104

We plug our value for y into the second equation and we get that y is equal to two. We can then plug this into the first equation and we get 10.

Our two numbers are two and ten.

I hope this helps!

Let's plug our y value into the second equation.

x²+x²+64=104