# Two games went on for a total of 32 minutes.

Two games went on for a total of 32 minutes. One game took 12 minutes longer than the other. How long did it take to complete each game?

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Mayme

Lets asume:
$$x=1$$ st game
$$y=2$$ nd game
$$x+y=32$$ (total of 32 mins)
$$x- y =12$$ (one game is 12 mins longer than the other)
Now, lets add those two equations,
$$2x=44$$
$$x=22$$
$$y=x-12=22-12=10$$
Two games were 22 mins and 10 mins