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?

Algebra.Com
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)   (Show Source): You can put this solution on YOUR website!
a + b + c = 69
b = a - 8
c = 5a
---
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

RELATED QUESTIONS

The sum of three numbers is 69. If the second number is equal to the first diminished by... (answered by solver91311)
The product of 8 in the sum of 4 and a number is 112. What is the number? The... (answered by stanbon)
#5.The sum of three numbers is 62. The second number is equal to the first number... (answered by bucky)
The sum of three numbers is 62.THe Second number is equal to the first number diminished... (answered by swincher4391)
The sum of three numbers is 73. The second number is equal to the first number diminished (answered by Boreal)
The sum of three numbers is -4. The second number decreased by the third is equal to the... (answered by Alex.33)
The sum of three numbers is 62. The second number is equal to the first number diminished (answered by checkley77)
the sum of three numbers is -4. the second number decreased by the third is equal to the... (answered by josgarithmetic)
the second of three consecutive odd numbers diminished by twice the third and increased... (answered by rothauserc)