document.write( "Question 1023594: The sum of the ages of two brothers is 31 years. They differ in age by 3 years. How is old is each of them? \n" ); document.write( "

Algebra.Com's Answer #639103 by ikleyn(52781) $\"\"$ $\"About$

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\n" ); document.write( "The sum of the ages of two brothers is 31 years. They differ in age by 3 years. How is old is each of them?
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document.write( "x + y = 31,   (1)\r\n" );
document.write( "x - y =  3.   (2)\r\n" );
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document.write( "Every time when you see two equations like these, add them. You will get\r\n" );
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document.write( "2x = 31 + 3,\r\n" );
document.write( "2x = 34,\r\n" );
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document.write( "x =  = 17.\r\n" );
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document.write( "Thus the older brother is 17 years old.\r\n" );
document.write( "The younger brother's age is 17-3 = 14 years.\r\n" );
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