document.write( "Question 1151278: The ratio of three numbers is 2:3:7. If the sum of the numbers is 360, what is the difference between the largest and the smallest numbers? \n" ); document.write( "

Algebra.Com's Answer #772959 by ikleyn(52771) $\"\"$ $\"About$

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document.write( "From the condition, the numbers are 2x, 3x and 7x, where x is the common measure of these numbers.\r\n" );
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document.write( "The value of x is unknown now, but can be easily foynd from the equation for the total\r\n" );
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document.write( "    2x + 3x + 7x = 360,\r\n" );
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document.write( "    12x = 360,\r\n" );
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document.write( "      x = 360/12 = 30.\r\n" );
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document.write( "Then the difference between the largest and the smallest numbers is\r\n" );
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document.write( "    7x - 2x = 5x = 5*30 = 150.     ANSWER\r\n" );
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