SOLUTION: The sum of three numbers is 26. Twice the first minus the second is 2 less than the third. The third is the second minus three times the first. Find the numbers and solve.

Question 948092: The sum of three numbers is 26. Twice the first minus the second is 2 less than the third. The third is the second minus three times the first. Find the numbers and solve.
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
The sum of three numbers is 26. Twice the first minus the second is 2 less than the third. The third is the second minus three times the first. Find the numbers and solve.
***
let x=1st number
let y=2nd number
let z=3rd number
..
x+y+z=26 (sum of three numbers is 26)
2x-y=z-2 (Twice the first minus the second is 2 less than the third.)
z=y-3x (The third is the second minus three times the first.)
..
sub z in first 2 eq,
x+y+y-3x=26
2x-y=y-3x-2
..
-2x+2y=26
5x-2y=-2
add
3x=24
x=8
2y=5x+2=42
y=21
z=26-(x+y)=-3
1st number=8
2nd number=21
3rd number =-3
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