Question
The difference between two numbers is 12 and the difference between their squares is 456. Find the numbers.
✓
Answer
25, 13
[Hint. $x-y=12$ and $\left.x^2-y^2=456 \Rightarrow x+y=\frac{x^2-y^2}{x-y}=\frac{456}{12}=38.\right]$
[Hint. $x-y=12$ and $\left.x^2-y^2=456 \Rightarrow x+y=\frac{x^2-y^2}{x-y}=\frac{456}{12}=38.\right]$
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