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

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) (Show Source): You can put this solution on YOUR website!
Set up a small system of equations:
------>the difference between them is 7
----->the larger is 7 less than twice the smaller.
Now solve the first for x and sub into the second:

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?.

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