document.write( "Question 120389: The sum of two numbers is 53 over 24 and the difference of the same two numbers is 13 over 24. What are the numbers? \n" ); document.write( "

Algebra.Com's Answer #88373 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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\n" ); document.write( "Write an equation for each statememt
\n" ); document.write( ":
\n" ); document.write( "\"The sum of two numbers is 53 over 24\"
\n" ); document.write( "x + y = $\"53%2F24\"$
\n" ); document.write( ":
\n" ); document.write( "\"the difference of the same two numbers is 13 over 24.\"
\n" ); document.write( "x - y = $\"13%2F24\"$
\n" ); document.write( ":
\n" ); document.write( "What are the numbers?
\n" ); document.write( ":
\n" ); document.write( "The denominators are the same so we can just deal with the numerators:
\n" ); document.write( "x + y = 53
\n" ); document.write( "x - y = 13
\n" ); document.write( "---------------adding eliminates y
\n" ); document.write( "2x = 66
\n" ); document.write( "x = 33
\n" ); document.write( ":
\n" ); document.write( "Find y
\n" ); document.write( "33 + y = 53
\n" ); document.write( "y = 53 - 33
\n" ); document.write( "y = 20
\n" ); document.write( ":
\n" ); document.write( "The two numbers are: $\"33%2F24\"$ , $\"20%2F24\"$ \n" ); document.write( "

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