SOLUTION: aaron is half as old as Ryan and three times as old as Matt. If the sum of their ages is 40. what is ryan's age?

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Question 1154589: aaron is half as old as Ryan and three times as old as Matt. If the sum of their ages is 40. what is ryan's age?
Found 3 solutions by mananth, josgarithmetic, greenestamps:
Answer by mananth(16946) About Me  (Show Source):
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aaron is half as old as Ryan and three times as old as Matt. If the sum of their ages is 40. what is ryan's age?
Let Aaron's age be x
Ryans age is 2x
Matt = 1/3 x
x+2x+1/3 x =40
10x/3 =40
10x = 120
x= 12 Aaron's age
Ryan's age =2x =24
Matt's age 1/3 of 12= 4



Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
The questions asks for RYAN's age.
PERSON         AGE

Aaron           r/2

Ryan             r

Matt           r/(2*3)=r/6 

SUM             40

highlight_green%28r%2F2%2Br%2Br%2F6=40%29

Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


I personally would avoid fractions by having my variable be the age of the youngest, which is Matt.

x = Matt
3x = Aaron [Aaron is 3 times as old as Matt]
6x = Ryan [Aaron is half as old as Ryan]

The sum of their ages is 40:

x%2B3x%2B6x=40
10x=40
x=4

The ages are
Matt = x = 4
Aaron = 3x = 12
Ryan = 6x = 24