document.write( "Question 1107739: A two digit question is such that it's digit is greater than its unit by 5,if the number is 14 less than 3 times the product of its digit,find the number \n" ); document.write( "

Algebra.Com's Answer #722769 by ikleyn(52798) $\"\"$ $\"About$

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\n" ); document.write( "A two digit $\"highlight%28cross%28question%29%29\"$ number is such that $\"highlight%28cross%28it%29%29\"$ ' $\"highlight%28cross%28s%29%29\"$ its $\"highlight%28tens%29\"$ digit is greater than its unit $\"highlight%28digit%29\"$ by 5.
\n" ); document.write( "If the number is 14 less than 3 times the product of its $\"highlight%28cross%28digit%29%29\"$ digits, find the number
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Is it so difficult for you to write the post accurately ?

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document.write( "Let us present the unknown number N in decimal form via its \"tens\" digit \"t\"  and  \"ones\" digit \"u\"  N = 10*t + u.\r\n" );
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document.write( "Then the condition says\r\n" );
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document.write( "t = u + 5                   (1)\r\n" );
document.write( "10*t + u = 3*t*u - 14.      (2)\r\n" );
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document.write( "It is your system of equations to solve.\r\n" );
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document.write( "From (1), substitute the expression for \"t\" into equation (2). You will get\r\n" );
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document.write( "10*(u+5) + u = 3*(u+5)*u - 14,\r\n" );
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document.write( "10u + 50 + u = 3u^2 + 15u - 14,\r\n" );
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document.write( "3u^2 + 4u - 64 = 0,\r\n" );
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document.write( " =  = .\r\n" );
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document.write( "The only integer positive solution is u = 4.\r\n" );
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document.write( "Then   t = u+5 = 9.\r\n" );
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document.write( "The number is  94.\r\n" );
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