Question 214621
We are required to solve the equation for t.
{{{(t-a)/(a) +(t-b)/(b) =1}}}
{{{b(t-a)+a(t-b)=ab}}} ................  multiply both sides by ab
{{{bt -ab+at-ab=ab}}}
{{{bt+at=3ab}}}
{{{(a+b)t=3ab}}}
{{{t=(3ab)/(a+b)}}}   ............. divide both sides by (a+b)