SOLUTION: The sum of three numbers is 10. The first number minus the second plus the third is 6. The first minus the third is 2 more than the second. Find the numbers.

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Question 1070659: The sum of three numbers is 10. The first number minus the second plus the third is 6. The first minus the third is 2 more than the second. Find the numbers.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
1.A%2BB%2BC=10
.
.
2.A-B%2BC=6
.
.
A-C=2%2BB
3.A-B-C=2
Adding 1 and 2,
A%2BB%2BC%2BA-B%2BC=10%2B6
2A%2B2C=16
4.A%2BC=8
Adding 1 and 3,
A%2BB%2BC%2BA-B-C=10%2B2
2A=12
5.A=6
So then,
6%2BC=8
C=2
and
6%2BB%2B2=10
B=2