Problem
ALG-B1-M12-P023 Variant 6, Problem 3
#23
★★★★☆ Level 4 of 5
Find positive integer solutions of \(\frac1x+\frac1y=\frac17\).
\((x-7)(y-7)=49\).
We get \((8,56),(14,14),(56,8)\).
Mock olympiad problem. Tags: fraction-equation.