document.write( "Question 479997: half the sum of two numbers is 20 and three times their differences is 18. find the numbers. \n" ); document.write( "

Algebra.Com's Answer #328826 by Tatiana_Stebko(1539) $\"\"$ $\"About$

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Let x and y are numbers
\n" ); document.write( "Half of the sum is $\"%28x%2By%29%2F2\"$ is 20, so $\"%28x%2By%29%2F2=20\"$
\n" ); document.write( "Three times their difference $\"3%28x-y%29=18\"$
\n" ); document.write( "The system of the equations
\n" ); document.write( " $\"system%28%28x%2By%29%2F2=20%2C+3%28x-y%29=18%29\"$ multiply the first equation by 2, divide the second equation by 3
\n" ); document.write( " $\"system%28x%2By=40%2C+x-y=6%29\"$ add the second equation to the first
\n" ); document.write( " $\"2x=46\"$
\n" ); document.write( " $\"x=46%2F2\"$
\n" ); document.write( " $\"x=23\"$ is the first number
\n" ); document.write( " $\"23%2By=40\"$
\n" ); document.write( " $\"y=40-23\"$
\n" ); document.write( " $\"y=17\"$ is the second number \n" ); document.write( "

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