document.write( "Question 1011834: The difference of two numbers is 7. Their sum is 13
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Algebra.Com's Answer #627630 by ikleyn(52795) $\"\"$ $\"About$

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document.write( "The difference of two numbers is 7. Their sum is 13\r\n" );
document.write( "a) define the variables \r\n" );
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document.write( "b) state the system of equations that's model this situation \r\n" );
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document.write( "c) define the numbers\r\n" );
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document.write( "Let x = the greater number, y = the smaller number.\r\n" );
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document.write( "The system is\r\n" );
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document.write( "x - y = 7   (1)\r\n" );
document.write( "x + y = 13  (2)\r\n" );
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document.write( "To solve it, add the equations (1) and (2) (both the left sides and the right sides). You will get\r\n" );
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document.write( "2x = 20. Hence, x =  = 10.\r\n" );
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document.write( "Then from (1) y = x - 7 = 10 - 7 = 3.\r\n" );
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document.write( "Answer. The larger number is 10. The smaller number is 3.\r\n" );
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