SOLUTION: The sum of three numbers is 69. If the second number is equal to the first diminished by 8, and the third number is 5 times the first. What are the numbers?

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Question 268603: The sum of three numbers is 69. If the second number is equal to the first diminished by 8, and the third number is 5 times the first. What are the numbers?
Answer by drk(1908) About Me  (Show Source):
You can put this solution on YOUR website!
a + b + c = 69
b = a - 8
c = 5a
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by substitution, we get
a + a - 8 + 5a = 69
combine like terms to get
7a - 8 = 69
add 8 to get
7a = 77
divide to get
a = 11
b = 3
c = 55