Discussion Forum

The sum of the squares of two numbers is 3341 and the difference of their squares is 891. The numbers are :

Answer:

Explanation:

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

Then, $x^{2}+y^{2}=3341$-----(1) $x^{2}-y^{2}= 891$-----(2)

Adding (1) and (2), we get $2x^{2}=4232$ or $x^{2}=2116$ or $x=46$.

Subtracting (2) from (1), we get : $2y^{2}=2450$ or $y^{2}= 1225$ or $y=35$.

So, the numbers are 35 and 46.