document.write( "Question 176310: Find two numbers whose sum is 64 ans whose difference is 14 the two numbers are x and y \n" ); document.write( "

Algebra.Com's Answer #131402 by EMStelley(208) $\"\"$ $\"About$

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If the two numbers are x and y, their sum being 64 can be written as
\n" ); document.write( "x+y=64
\n" ); document.write( "and their difference being 14 can be written as
\n" ); document.write( "x-y=14
\n" ); document.write( "So we need to solve the system
\n" ); document.write( " $\"x%2By=64\"$
\n" ); document.write( " $\"x-y=14\"$
\n" ); document.write( "This system lends itself to the addition method, so let's add the two equations, resulting in
\n" ); document.write( " $\"2x=78\"$
\n" ); document.write( "So x=39. To find y, you simply plug in x=39 to either one of the original equations. I will use the first one.
\n" ); document.write( "39+y=64
\n" ); document.write( "y=25.
\n" ); document.write( "So the two numbers are 39 and 25. \n" ); document.write( "

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