The product of my age 7 years ago and my age 7 years from now is a positive perfect square. Compute my age now. I set up the equation, $(x+7)(x-7)=a^2$, so $x^2 -49= a^2$. So I know that x has to be bigger than 7. But I don't know what to do next... Please help me! Thank you very much!
2026-03-26 21:05:50.1774559150
high school senior A division contest question
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Hint: You have $x^2-49=y^2$, which can be rearranged to give $x^2-y^2=(x+y)(x-y)=7^2$. What are possible values of $x+y$ and $x-y$?