document.write( "Question 1099464: The difference of two numbers is 35, the difference of their squares is 315. What are these numbers? \n" ); document.write( "

Algebra.Com's Answer #713881 by ikleyn(52781) $\"\"$ $\"About$

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document.write( " = 315  ====>\r\n" );
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document.write( "(x-y)*(x+y) = 315  ====>  replace (x-y) by 35, based on the condition. You will get\r\n" );
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document.write( "35*(x+y) = 315  ====>  x + y =  = 9.\r\n" );
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document.write( "Thus you reduced the given non-linear system to the simple LINEAR one, consisting of two equations\r\n" );
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document.write( "x - y = 35,\r\n" );
document.write( "x + y =  9.\r\n" );
document.write( "-------------------Add the two equations. You will get\r\n" );
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document.write( "2x = 35 + 9 = 44  ====>  x =  = 22.\r\n" );
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document.write( "One number is 22.  Then the other is  y = 22 - 35 = -13.\r\n" );
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document.write( "Check.   = 315.  ! Correct !\r\n" );
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document.write( "Answer.  The numbers are  22  and  -13.\r\n" );
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