document.write( "Question 1166632: Adam is 20 years younger than Brian. In two years Brian will be twice as old as Adam. How old are they now? \n" ); document.write( "

Algebra.Com's Answer #791180 by ikleyn(52784) $\"\"$ $\"About$

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\n" ); document.write( "Adam is 20 years younger than Brian. In two years Brian will be twice as old as Adam. How old are they now?
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document.write( "Let A be the Adam's age.\r\n" );
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document.write( "Then the Brian's age is (A + 20)  years.\r\n" );
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document.write( "In two years  Adam's age will be  (A+2);  Brian's age will be (A+22) years,\r\n" );
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document.write( "and you have this equation\r\n" );
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document.write( "    A + 22 = 2*(A+2).\r\n" );
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document.write( "Simplify and find A\r\n" );
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document.write( "    A + 22 = 2A + 4\r\n" );
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document.write( "    22 - 4 = 2A - A\r\n" );
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document.write( "     A     = 18.\r\n" );
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document.write( "ANSWER.  A is 18 years old.  B is 18+20 = 38 years old.\r\n" );
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document.write( "CHECK.  In 2 years, they will be  20 and 40 years old.   The ratio is 2.  ! Correct !\r\n" );
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