SOLUTION: the ratio of two numbers is 8 to 9. Their difference is 10. What are the numbers?

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Question 839792: the ratio of two numbers is 8 to 9. Their difference is 10. What are the numbers?
Answer by LinnW(1048) About Me  (Show Source):
You can put this solution on YOUR website!
set = the first number
y = second number
x/y = 8/9
y-x = 10
solve for y in the second equation
add x to each side
y = x + 10
substitute x + 10 for y in x/y = 8/9
x%2F%28x+%2B+10%29+=+8%2F9
do cross products
9x+=+8%28x%2B10%29
9x+=+8x+%2B+80
add -8x to each side
x = 80
since x/y =8/9 with x = 80, y = 90