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Question 901527:  One number is seven less than five times another. If their sum is increased by six, the result is twenty-three. Find the numbers. 
 
 Answer by stanbon(75887)      (Show Source): 
You can  put this solution on YOUR website! One number is seven less than five times another. If their sum is increased by six, the result is twenty-three. Find the numbers. 
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Equations:: 
x = 5y-7 
x+y + 6 = 23 
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Substitute for "x" and solve for "y": 
5y-7 + y + 6 = 23 
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6y -1 = 23 
6y = 24 
y = 4 
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Solve for "x": 
x = 5y-7 
x = 5*4-7 
x = 13 
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Cheers, 
Stan H. 
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