An algebra problem by A Former Brilliant Member

Jones received $25 more than Smith.

at first , subtracting the extra money, (350 -25) =$ 325

so, $325 will be equally divided between them.

so, Smith will get = $\frac {325}{2}$ = 162.5 $

Relevant wiki: Setting Up Equations

Let $x$ be the number of dollars which Smith receives. Then, Jones receives ( $x+25$ ) dollars, so

$x+(x+25)=350$ $\implies$ $x+x+25=350$ $\implies$ $2x=350-25$ $\implies$ $2x=325$ $\implies$ $x=$ $\color{#D61F06}\boxed{162.5}$