document.write( "Question 44442This question is from textbook Begining Algebra
\n" ); document.write( ": The sum of two numbers is 34. Their difference is 10. What are the two numbers? \n" ); document.write( "

Algebra.Com's Answer #29346 by atif.muhammad(135) $\"\"$ $\"About$

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Let one number be x, and the other number be y.\r\n" );
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document.write( "x and y\r\n" );
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document.write( "Their sum = 34\r\n" );
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document.write( "x + y = 34\r\n" );
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document.write( "Their difference = 10\r\n" );
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document.write( "x - y = 10\r\n" );
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document.write( "A little angel told me, the answer is 22 and 12!\r\n" );
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document.write( "We have a pair of simultaneous equations and will solve these using substitution. \r\n" );
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document.write( "x + y = 34 (1)\r\n" );
document.write( "x - y = 10 (2)\r\n" );
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document.write( "Rearrange (2):\r\n" );
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document.write( "x - y = 10\r\n" );
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document.write( "x = 10 + y (3)\r\n" );
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document.write( "Substitute (3) into (1)\r\n" );
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document.write( "x + y = 34\r\n" );
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document.write( "(10 + y) + y =34\r\n" );
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document.write( "10 + y + y = 34\r\n" );
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document.write( "2y = 24\r\n" );
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document.write( "y =12 (4)\r\n" );
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document.write( "Substitute (4) into (3)\r\n" );
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document.write( "x = 10 + y\r\n" );
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document.write( "x = 10 + 12 = 22\r\n" );
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document.write( "Hence the two numbers are 12, and 22.

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