99% Can't Solve This | A Nice Algebra Problem | Find the Value of a and b 

Good method

{5/a+5/a ➖}+{6/b6/b ➖}={10/a+12/b}=22/ab 2^11/ab 2^11^1/ab 2^1^1/ab2^1/ab (ab ➖ 2ab+1).

Just some observation trial and error Got the answer to be a=1 b=3