document.write( "Question 1112913: d is 2 years younger than j. the difference between the squares of their ages is 28. how old is each \n" ); document.write( "

Algebra.Com's Answer #727934 by ikleyn(52777) $\"\"$ $\"About$

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\n" ); document.write( "D is 2 years younger than J. The difference between the squares of their ages is 28. how old is each
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\n" ); document.write( "\n" ); document.write( "See what is RIGHT WAY solving such problems.\r
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document.write( "You are given these two equations\r\n" );
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document.write( "J - D = 2           (1)\r\n" );
document.write( " -  = 28       (2)\r\n" );
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document.write( "From (2), you have\r\n" );
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document.write( "(J-D)*(J+D) = 28    (2')\r\n" );
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document.write( "In (2') replace (J-D) by 2, since it is given.  You have\r\n" );
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document.write( "2*(J+D) = 28,    which implies\r\n" );
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document.write( "J + D = 14.         (3)\r\n" );
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document.write( "Now you have these two equations\r\n" );
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document.write( "J - D = 2           which is the same as (1),   and\r\n" );
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document.write( "J + D = 14          which is (3).\r\n" );
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document.write( "Now add these equations . Yuo will get\r\n" );
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document.write( "2J = 2 + 14 = 16,    which implies   J =  = 8.\r\n" );
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document.write( "Then   D = 8-2 = 6.\r\n" );
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document.write( "Answer.  J is 8.  D is 6\r\n" );
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