SOLUTION: Joe is twice as old as sam. sam is 3 times as old as paul.The sum of all the ages is 90 years. how old is sam?

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Question 282528: Joe is twice as old as sam. sam is 3 times as old as paul.The sum of all the ages is 90 years. how old is sam?
Answer by dabanfield(803) About Me  (Show Source):
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Joe is twice as old as sam. sam is 3 times as old as paul.The sum of all the ages is 90 years. how old is sam?
Let x be Paul's age. Then Sam's age is 3*x and Joe is 2*(3*x).
The sum of their ages then is:
x + 3x + 2*(3*x) = 90
10x = 90
x = 9
Paul is 9 years old. Calculate Joe's and Sam's ages based on x=9.