SOLUTION: The difference of two positive numbers is 8. The larger is twice the smaller decreased by 7. Find the two numbers.

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Question 74450: The difference of two positive numbers is 8. The larger is twice the smaller decreased by 7. Find the two numbers.
Answer by galactus(183) About Me  (Show Source):
You can put this solution on YOUR website!
Set up a small system of equations:
x-y=8------>the difference between them is 7
x-2y=-7----->the larger is 7 less than twice the smaller.
Now solve the first for x and sub into the second:
%288%2By%29-2y=-7
8-y=-7
y=15
Therefore, x=23
The numbers are 15 and 23.
Check it out. The difference is 8: 23-15=8, CHECK.
The larger is 7 less than twice the smaller: 2(15)-7=23, CHECK.
See?.