Answer to Question #168899 in Algebra for JoshColl

Question

Akoshia has more money than Komley. If Akoshia gave Komley ¢20, they would have the same amount. While if Komley gave Akoshia ¢22, Akoshia would then have twice as much as Komley. How much does each one actually have?

Answer 1

Let Akoshia has ¢x, Komley has ¢y, $x>y.$

$$x-20=y+20$$

$$x+22=2(y-22)$$

Then

$$x=y+40$$

$$y+40+22=2y-44$$

$y=106$

$x=146$

Akoshia has ¢146, Komley has ¢106.