document.write( "Question 1147723: I need help with this application problem.
\n" ); document.write( "If the same number is added to the numerator and subtracted from the denominator of 23/12, the resulting faction is equivalent to the reciprocal of 2/3. What is the number? \n" ); document.write( "

Algebra.Com's Answer #769077 by ikleyn(52788) $\"\"$ $\"About$

You can put this solution on YOUR website!
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document.write( "The equation is\r\n" );
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document.write( "     = .\r\n" );
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document.write( "Cross multiply\r\n" );
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document.write( "    2*(23+x) = 3*(12-x)\r\n" );
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document.write( "    46 + 2x = 36 - 3x\r\n" );
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document.write( "    2x + 3x = 36 - 46\r\n" );
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document.write( "    5x        = -10\r\n" );
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document.write( "     x        = -10/5 = -2.\r\n" );
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document.write( "ANSWER.  The number is -2.\r\n" );
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\n" ); document.write( "\n" ); document.write( "You can easily check it on your own.\r
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\n" ); document.write( "\n" ); document.write( "Instead of \"I need help . . . \", I prefer \"Could you help me, please . . . \"\r
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