document.write( "Question 520673: The product of two consecutive odd whole numbers is one less than five times their sum. Find the whole numbers \n" ); document.write( "

Algebra.Com's Answer #346166 by Maths68(1474) $\"\"$ $\"About$

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Let
\n" ); document.write( "One odd integer = x+1
\n" ); document.write( "Other odd integer = x+3\r
\n" ); document.write( "\n" ); document.write( "Given Condition\r
\n" ); document.write( "\n" ); document.write( "(x+1)(x+3)=5((x+1)+(x+3))-1
\n" ); document.write( "x^2+3x+x+3=5(x+1+x+3)-1
\n" ); document.write( "x^2+4x+3=5(2x+4)-1
\n" ); document.write( "x^2+4x+3=10x+20-1
\n" ); document.write( "x^2+4x+3=10x+19
\n" ); document.write( "x^2+4x-10x+3-19=0
\n" ); document.write( "x^2-6x-16=0
\n" ); document.write( "x^2-8x+2x-16=0
\n" ); document.write( "x(x-8)+2(x-8)=0
\n" ); document.write( "(x-8)(x+2)=0
\n" ); document.write( "x-8=0 or x+2=0
\n" ); document.write( "x=8 or x=-2 (inadmissible)\r
\n" ); document.write( "\n" ); document.write( "x=8\r
\n" ); document.write( "\n" ); document.write( "One odd integer = x+1 = 8+1=9
\n" ); document.write( "Other odd integer = x+3 = 8+3 = 11\r
\n" ); document.write( "\n" ); document.write( "Check
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\n" ); document.write( "\n" ); document.write( "Product of integers = 5 (sum of integers) -1
\n" ); document.write( "9*11=5(9+11)-1
\n" ); document.write( "99=5(20)-1
\n" ); document.write( "99=100-1
\n" ); document.write( "99=99\r
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