document.write( "Question 956498: find 3 consecutive odd integers such that the sum of the three numbers is 60 less than the square of the largest integer. \n" ); document.write( "

Algebra.Com's Answer #584422 by macston(5194) $\"\"$ $\"About$

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n=first integer; n+2=second integer; n+4=third integer
\n" ); document.write( " $\"n%2B%28n%2B2%29%2B%28n%2B4%29=%28n%2B4%29%5E2-60\"$
\n" ); document.write( " $\"3n%2B6=n%5E2%2B8n%2B16-60\"$ Subtract (3n+6) from each side.
\n" ); document.write( " $\"0=n%5E2%2B5n-50\"$
\n" ); document.write( " $\"%28n-5%29%28n%2B10%29=0\"$
\n" ); document.write( "n-5=0 or n+10=0
\n" ); document.write( "n=5 or n=-10 ANSWER 1: The first integer is 5.
\n" ); document.write( "n+2=5+2=7 ANSWER 2: The second integer is 7.
\n" ); document.write( "n+4=5+4=9 ANSWER 3: The third integer is 9.
\n" ); document.write( "CHECK:
\n" ); document.write( " $\"5%2B7%2B9=9%5E2-60\"$
\n" ); document.write( " $\"21=81-60\"$
\n" ); document.write( " $\"21=21\"$ \n" ); document.write( "

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