Discussion Forum

The difference between the squares of two numbers is 256000 and the sum of the numbers is 1000. The numbers are :

Answer:

Explanation:

Let the numbers be $x$ and $y$.

Then, $x^{2}-y^{2}=256000$ and $x+y=1000$.

On dividing, we get : $x-y= 256$.

Solving $x+y=1000$ and $x-y= 256$, we get $x = 628$ and $y=372$