# Math Help - Find Two Numbers

1. ## Find Two Numbers

Find two numbers, one of which is double the other, if the square of their sum exceeds the sum of their squares by 100.

2. Originally Posted by magentarita
Find two numbers, one of which is double the other, if the square of their sum exceeds the sum of their squares by 100.
So:

$(2x + x)^2 - ( (2x)^2 + (x)^2 ) = 100$

And then it's a simple solve.

3. ## yes....

Originally Posted by janvdl
So:

$(2x + x)^2 - ( (2x)^2 + (x)^2 ) = 100$

And then it's a simple solve.
Yes, I can take it from here.