Question 1154589
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I personally would avoid fractions by having my variable be the age of the youngest, which is Matt.<br>
x = Matt
3x = Aaron [Aaron is 3 times as old as Matt]
6x = Ryan [Aaron is half as old as Ryan]<br>
The sum of their ages is 40:<br>
{{{x+3x+6x=40}}}
{{{10x=40}}}
{{{x=4}}}<br>
The ages are
Matt = x = 4
Aaron = 3x = 12
Ryan = 6x = 24<br>