document.write( "Question 254303: The product of two consecutive odd integers exceeds ten times the even number between them by 95. What are the two odd integers? \n" ); document.write( "

Algebra.Com's Answer #186667 by drk(1908) $\"\"$ $\"About$

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Let 2 consecutive odd integers be x and x + 2.
\n" ); document.write( "Let the even number between then be x + 1.
\n" ); document.write( " $\"x%28x%2B2%29+-+10%2A%28x%2B1%29+=+95\"$
\n" ); document.write( " $\"x%5E2+%2B+2x+-10x+-10+-+95+=+0\"$
\n" ); document.write( " $\"x%5E2+-+8x+-105+=+0\"$
\n" ); document.write( " $\"%28x-15%29%28x%2B7%29+=+0\"$
\n" ); document.write( "x = 15 or x = -7.
\n" ); document.write( "We have two answers:
\n" ); document.write( "15, 17
\n" ); document.write( "-7, -5.
\n" ); document.write( "Now the question could be \"could x be negative?\" Let's see,we can try our answers on the original question of \"The product of two consecutive odd integers exceeds ten times the even number between them by 95\"
\n" ); document.write( "(-7)*(-5) - 10*(-6) = 95
\n" ); document.write( "35 + 60 = 95
\n" ); document.write( "95 = 95.
\n" ); document.write( "So we see that negatives do work.
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