document.write( "Question 745683: Two integers are consecutive. If 5 is added to the first and 3 is subtracted from the second, the quotient of the resulting integers is 2 2/5. Find them. \n" ); document.write( "

Algebra.Com's Answer #453993 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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Two integers are consecutive.
\n" ); document.write( "n & (n+1)
\n" ); document.write( " If 5 is added to the first and 3 is subtracted from the second, the quotient of the resulting integers is 2 2/5.
\n" ); document.write( " $\"%28%28n%2B5%29%29%2F%28%28n%2B1-3%29%29\"$ = $\"12%2F5\"$
\n" ); document.write( "which is
\n" ); document.write( " $\"%28%28n%2B5%29%29%2F%28%28n-2%29%29\"$ = $\"12%2F5\"$
\n" ); document.write( "Cross multiply
\n" ); document.write( "12(n-2) = 5(n+5)
\n" ); document.write( "12n - 24 = 5n + 25
\n" ); document.write( "12n - 5n = 25 + 24
\n" ); document.write( "7n = 49
\n" ); document.write( "n = 49/7
\n" ); document.write( "n = 7 and 8 are the two integers
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\n" ); document.write( "See if that works
\n" ); document.write( "12/5 = 2 $\"2%2F5\"$ \r
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