document.write( "Question 1134352: Find 3 consecutive odd integers if the difference of the squares of the least and greatest is 120. \n" ); document.write( "
Algebra.Com's Answer #751699 by MathLover1(20849)\"\" \"About 
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\n" ); document.write( "\n" ); document.write( "Find \"3\" consecutive odd integers if the difference of the squares of the least and greatest is \"120\". \r
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\n" ); document.write( "\n" ); document.write( "To determine these integers, we start by letting the first odd integer be \"x\". Then we can represent the three consecutive odd integers as \"x\",\"+x+%2B+2\", and \"x+%2B+4\".\r
\n" ); document.write( "\n" ); document.write( "the squares of the least and greatest is:\"x%5E2\" and \"%28x+%2B+4%29%5E2\"\r
\n" ); document.write( "\n" ); document.write( "if the \"difference\" of the squares of the least and greatest is \"120\", we have\r
\n" ); document.write( "\n" ); document.write( "\"%28x+%2B+4%29%5E2-x%5E2=120\"\r
\n" ); document.write( "\n" ); document.write( "\"x%5E2+%2B+8x%2B16-x%5E2=120\"\r
\n" ); document.write( "\n" ); document.write( "\"cross%28x%5E2%29+%2B+8x%2B16-cross%28x%5E2%29=120\"\r
\n" ); document.write( "\n" ); document.write( "\"+8x=120-16\"\r
\n" ); document.write( "\n" ); document.write( "\"+8x=104\"\r
\n" ); document.write( "\n" ); document.write( "\"+x=104%2F8\"\r
\n" ); document.write( "\n" ); document.write( "\"+highlight%28x=13%29\"\r
\n" ); document.write( "\n" ); document.write( "then \"+highlight%28x+%2B+2=15%29\", and \"highlight%28x+%2B+4=17%29\"\r
\n" ); document.write( "\n" ); document.write( "your odd integers are: \"+highlight%2813%29\", \"+highlight%28+15%29\", and \"highlight%28+17%29\"\r
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