SOLUTION: the sum of three numbers is 6. The third number is the sum of the first and second number. The frist number is one more than the third number. Find the numbers.

Question 365864: the sum of three numbers is 6. The third number is the sum of the first and second number. The frist number is one more than the third number. Find the numbers.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
the sum of three numbers is 6. The third number is the sum of the first and second number. The first number is one more than the third number. Find the numbers.
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Equations:
x + y + z = 6
z = x+y
x = z+1
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Substitute for x to get:
z = z+1+y
Therefore y = -1
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Substitute for "x" and for "y":
z+1 + (-1) + z = 6
2z = 6
z = 3
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Since x = z+1, x = 4
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Solution:
x = 4
y = -1
z = 3
============
Cheers,
Stan H.
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