document.write( "Question 581846: The ratio of two numbers is 8 to 5. The difference of the numbers is 24. What are the numbers? \n" ); document.write( "

Algebra.Com's Answer #371827 by josmiceli(19441) $\"\"$ $\"About$

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Call the numbers $\"a\"$ and $\"b\"$
\n" ); document.write( "given:
\n" ); document.write( " $\"+a%2Fb+=+8%2F5+\"$
\n" ); document.write( " $\"+a+-+b+=+24+\"$
\n" ); document.write( "-----------
\n" ); document.write( " $\"+a%2Fb+=+8%2F5+\"$
\n" ); document.write( " $\"+5a+=+8b+\"$
\n" ); document.write( " $\"+a+=+%288%2F5%29%2Ab+\"$
\n" ); document.write( " $\"+%288%2F5%29%2Ab+-+b+=+24+\"$
\n" ); document.write( " $\"+b%2A%28+8%2F5+-+5%2F5+%29+=+24+\"$
\n" ); document.write( " $\"+%283%2F5%29%2Ab+=+24+%7D%7D%0D%0A%7B%7B%7B+b+=+%285%2F3%29%2A24+\"$
\n" ); document.write( " $\"+b+=+40+\"$
\n" ); document.write( "and
\n" ); document.write( " $\"+a+-+b+=+24+\"$
\n" ); document.write( " $\"+a+-+40+=+24+\"$
\n" ); document.write( " $\"+a+=+64+\"$
\n" ); document.write( "The numbers are 64 and 40
\n" ); document.write( "check:
\n" ); document.write( " $\"+a%2Fb+=+8%2F5+\"$
\n" ); document.write( " $\"+64%2F40+=+8%2F5+\"$
\n" ); document.write( " $\"+5%2A64+=+8%2A40+\"$
\n" ); document.write( " $\"+320+=+320+\"$
\n" ); document.write( "OK \n" ); document.write( "

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