SOLUTION: The difference between 2 numbers is 16. Five times the smaller is the same as 8 less than twice the larger. Find thenumbers.

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Question 403936: The difference between 2 numbers is 16. Five times the smaller is the same as 8 less than twice the larger. Find thenumbers.
Answer by texttutoring(324) About Me  (Show Source):
You can put this solution on YOUR website!
Let x = the larger number
Let y = the smaller number

You have two variables, so you need two equations:

Equation 1: x-y=16
Equation 2: 5y=2x-8

You can now use elimination or substitution to solve. I will use substitution:

x-y=16
x=16+y

Substitute this into the second equation:

5y=2x-8
5y=2(16+y)-8
5y=32+2y-8
5y=24+2y
3y=24
y=8

Now find x:
x=16+y
x=16+8
x=24

So the two numbers are 8 and 24.