SOLUTION: One number is five more than a first number. A third number is four times the first number. If the sum of the three numbers is 323, find each of the numbers

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Question 601545: One number is five more than a first number. A third number is four times the first number. If the sum of the three numbers is 323, find each of the numbers
Answer by Rcmathtutor(12) About Me  (Show Source):
You can put this solution on YOUR website!
Let first number = x, second number = y and third number = z
1) y = x + 5
2) z = 4x
3) x + y + z = 323
Substitute y and z in equation #3:
x + x + 5 + 4x = 323
6x + 5 = 323
6x = 318
x = 53
Substitute x in equation #1:
y = 53 + 5
y = 58
Substitute x in equation #2:
z = 4(53)
z = 212
The numbers are: 53, 58 and 212.