SOLUTION: The sum of three numbers is 8 . The first number minus the second plus the third is 4 . The first minus the third is 2 more than the second. Find the numbers.

Algebra ->  Customizable Word Problem Solvers  -> Numbers -> SOLUTION: The sum of three numbers is 8 . The first number minus the second plus the third is 4 . The first minus the third is 2 more than the second. Find the numbers.       Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 1116345: The sum of three numbers is 8
.
The first number minus the second plus the third is 4
.
The first minus the third is 2

more than the second. Find the numbers.
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
The sum of three numbers is 8
.
The first number minus the second plus the third is 4
.
The first minus the third is 2

more than the second. Find the numbers.
----------
Call them x, y & z
x + y + z = 8
x - y + z = 4
x - z = y + 2 --> x - y - z = 2
--------
x + y + z = 8
x - y + z = 4
x - y - z = 2
-----------
Add eqns 1 & 3
x + y + z = 8
x - y - z = 2
-------------
2x = 10
x = 5
=====================
Add eqns 1 & 2
x + y + z = 8
x - y + z = 4
2x + 2z = 12
x + z = 6
z = 1
============
y = 2