Tricky Equations

Algebra Level 4

xyz=3x+1z=4y+1x=5z+1y=ab\begin{aligned}xyz=&3\\x+\dfrac1z=&4\\y+\dfrac1x=&5\\z+\dfrac1y=&\dfrac ab\end{aligned}

where aa and bb are coprime positive integers, find the value of a+ba+b.

×

Problem Loading...

Note Loading...

Set Loading...