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

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Question 505068: The difference of two positive numbers is 8. The larger is twice the smaller decreaed my 7. Find the two numbers.
Answer by oberobic(2304) About Me  (Show Source):
You can put this solution on YOUR website!
x & y are two positive integers
.
x = y-8
or
y = x+8
.
y = 2x -7
.
y = y
so
x+8 = 2x-7
-x = -15
x = 15
.
y = x+8
y = 23
.
Check the solution.
.
Does y = 2x -7?
y = 23
2x-7 = 2(15)-7 = 23
Correct.
.
Answer: The two numbers are 15 and 23.
.
Done.