SOLUTION: the sum of three numbers is 66. the third number is 9 more than the first. the second number is 3 times the third. what are the numbers?

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Question 749505: the sum of three numbers is 66. the third number is 9 more than the first. the second number is 3 times the third. what are the numbers?
Answer by timvanswearingen(106) About Me  (Show Source):
You can put this solution on YOUR website!
Let x represent the third number. Then the first number is x-9 and the second number is 3x.
Now, the sum of the numbers is 66, so set up an equation:
%28x-9%29%2B3x%2Bx=66
Combine like terms:
5x-9=66
Add 9 to both sides:
5x=75
Divide both sides by 5:
x=15
Thus, the third number is 15. The second was 3x, so 3*15=45. The second number is 45. The first number was x-9, so 15-9=6. The first number is 6. The numbers are 6, 45, and 15.