document.write( "Question 1030755: three numbers added together total 500. The second number is four times the first and the third is five times the second. Find each number \n" ); document.write( "

Algebra.Com's Answer #645534 by ikleyn(52792) $\"\"$ $\"About$

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\n" ); document.write( "three numbers added together total 500. The second number is four times the first and the third is five times the second. Find each number
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document.write( "Let x be the first number.\r\n" );
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document.write( "Then the second is 4x, and the third is 5*(4x) = 20x.\r\n" );
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document.write( "The sum of the three numbers is \r\n" );
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document.write( "x + 4x + 20x = 25x,\r\n" );
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document.write( "and it is 500 according to the condition.\r\n" );
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document.write( "So, you have an equation\r\n" );
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document.write( "25x = 500,\r\n" );
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document.write( "which gives x =  = 20.\r\n" );
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document.write( "So, the first number is 20.\r\n" );
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document.write( "Then the second is 4x = 4*20 = 80,  and the third number is 5*80 = 400.\r\n" );
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document.write( "Answer.  The first number is 20, the second is 80 and the third is 400.\r\n" );
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