SOLUTION: The sum of three numbers is 129 . The third number is 4 times the first. The first number is 9 more than the second. What are the numbers?

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Question 1004197: The sum of three numbers is
129
. The third number is
4
times the first. The first number is
9
more than the second. What are the numbers?

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

let the first number be x, the second number y, and third number z
the sum of three numbers is 129; so, we have
x%2By%2Bz=129.....eq.1

if the third number is 4 times the first, we have z=4x
if the first number is 9 more than the second, we have y=x-9
substitute it in eq.1
x%2B%28x-9%29%2B4x=129.....eq.1
x%2Bx-9%2B4x=129
6x=129%2B9
6x=138
x=138%2F6
highlight%28x=23%29
now find other two numbers
y=23-9=>highlight%28y=14%29
z=4%2A23=>highlight%28z=92%29