SOLUTION: The sum of two numbers is fourteen. The difference between two times the smaller and the larger is one. Find the two numbers.

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Question 284338: The sum of two numbers is fourteen. The difference between two times the smaller and the larger is one. Find the two numbers.
Found 2 solutions by stanbon, CharlesG2:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
The sum of two numbers is fourteen. The difference between two times the smaller and the larger is one. Find the two numbers.
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Equations:
x + y = 14
2x- y = 1
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Add and solve for "x":
3x = 15
x = 5
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Substitute for "x" and solve for "y":
5+y = 14
y = 9
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Cheers,
Stan H.

Answer by CharlesG2(834) About Me  (Show Source):
You can put this solution on YOUR website!
The sum of two numbers is fourteen. The difference between two times the smaller and the larger is one. Find the two numbers.
x smaller number, y larger number
x + y = 14
2x - y = 1
y = 14 - x
2x - 14 + x = 1
3x - 14 = 1
3x = 15
x = 5
y = 14 - 5 = 9
the 2 numbers are 5 and 9