document.write( "Question 1152888: The number 100 is separated into two parts such that if 1/3 of one part is subtracted from 1/4 of the other, the difference is 18. Find the two parts. \n" ); document.write( "

Algebra.Com's Answer #775008 by ikleyn(52906) $\"\"$ $\"About$

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document.write( "Let x be the length of one part; then the length of the other part is (100-x).\r\n" );
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document.write( "Next, write the equation from the condition\r\n" );
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document.write( "     -  = 18.\r\n" );
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document.write( "Multiply by 3*4 = 12 both sides\r\n" );
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document.write( "    3*(100-x) - 4x = 12*18.\r\n" );
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document.write( "Simplify\r\n" );
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document.write( "    300 - 3x - 4x = 216 - 300\r\n" );
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document.write( "    -7x = -84\r\n" );
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document.write( "     x =  = 12.\r\n" );
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document.write( "ANSWER.  The parts are 12 and 100-12 = 88.\r\n" );
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document.write( "CHECK.   -  = 22 - 4 = 18.    ! Correct !\r\n" );
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