document.write( "Question 839792: the ratio of two numbers is 8 to 9. Their difference is 10. What are the numbers?
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Algebra.Com's Answer #505830 by LinnW(1048) $\"\"$ $\"About$

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set = the first number
\n" ); document.write( "y = second number
\n" ); document.write( "x/y = 8/9
\n" ); document.write( "y-x = 10
\n" ); document.write( "solve for y in the second equation
\n" ); document.write( "add x to each side
\n" ); document.write( "y = x + 10
\n" ); document.write( "substitute x + 10 for y in x/y = 8/9
\n" ); document.write( " $\"x%2F%28x+%2B+10%29+=+8%2F9\"$
\n" ); document.write( "do cross products
\n" ); document.write( " $\"9x+=+8%28x%2B10%29\"$
\n" ); document.write( " $\"9x+=+8x+%2B+80\"$
\n" ); document.write( "add -8x to each side
\n" ); document.write( "x = 80
\n" ); document.write( "since x/y =8/9 with x = 80, y = 90
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