document.write( "Question 697894: When you add 12 to a number and then divide the sum by 13, you get the same result as when you subtract 13 from the number and then divide the difference by 12. What's the number? \n" ); document.write( "

Algebra.Com's Answer #430369 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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When you add 12 to a number and then divide the sum by 13, you get the same result as when you subtract 13 from the number and then divide the difference by 12. What's the number?
\n" ); document.write( ":
\n" ); document.write( "Let n = \"the number\"
\n" ); document.write( " $\"%28%28n%2B12%29%29%2F13\"$ = $\"%28%28n-13%29%29%2F12\"$
\n" ); document.write( "cross multiply
\n" ); document.write( "13(n-13) = 12(n+12)
\n" ); document.write( "13n - 169 = 12n + 144
\n" ); document.write( "13n - 12n = 144 + 169
\n" ); document.write( "n = 313 is the number
\n" ); document.write( ":
\n" ); document.write( "You can confirm this in the original equation \n" ); document.write( "

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