SOLUTION: The difference between two numbers is 16. Five times the smaller is the same as 8 less than the larger. Find the numbers. I'm having trouble finding the equations.

Question 68707: The difference between two numbers is 16. Five times the smaller is the same as 8 less than the larger. Find the numbers. I'm having trouble finding the equations.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
The difference between two numbers is 16. Five times the smaller is the same as 8 less than the larger. Find the numbers. I'm having trouble finding the equations.
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Let the numbers be x and y.
Let x be the larger number.
EQUATIONS:
1st: x-y=16
2nd: 5y=x-8
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Solve 1st for x: x=y+16
Substitute in 2nd: 5y=y+16-8
4y=8
y=2
Then x=y+16=18
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larger number is 18; smaller is 2
Cheers,
Stan H.
The larger number is

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