document.write( "Question 983813: A two digit number such that its tens digit is greater than its unit digits by 4. The two digits number is less than 4 times the product of its digits by 11 . Please find the number \n" ); document.write( "
Algebra.Com's Answer #604615 by josgarithmetic(39623)\"\" \"About 
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\"10t%2Bu\" is the two-digit number.\r
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\n" ); document.write( "\n" ); document.write( "\"system%28t-u=4%2C4%2At%2Au-%2810t%2Bu%29=11%29\"
\n" ); document.write( "The first and the second sentences.\r
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\n" ); document.write( "\n" ); document.write( "\"system%28t=u%2B4%2C4tu-10t-u=11%29\"\r
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\n" ); document.write( "\n" ); document.write( "Substitute for t in the second equation.
\n" ); document.write( "\"4%28u%2B4%29u-10%28u%2B4%29-u=11\"
\n" ); document.write( "\"4u%5E2%2B16u-10u-40-u-11=0\"
\n" ); document.write( "\"4u%5E2%2B5u-51=0\"-----------use formula for general solution to quadratic equation.\r
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\n" ); document.write( "\n" ); document.write( "\"u=%28-5%2B-+sqrt%2825%2B4%2A4%2A51%29%29%2F8\"
\n" ); document.write( "\"u=%28-5%2B-+sqrt%28841%29%29%2F8\"
\n" ); document.write( "\"u=%28-5%2B29%29%2F8\" because the MINUS form makes no sense for digits.
\n" ); document.write( "\"u=24%2F8\"
\n" ); document.write( "\"highlight%28u=3%29\"\r
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\n" ); document.write( "\n" ); document.write( "The TENS digit:
\n" ); document.write( "\"t=u%2B4\"
\n" ); document.write( "\"t=3%2B4\"
\n" ); document.write( "\"highlight%28t=7%29\"\r
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