document.write( "Question 1078440: The sum of two numbers is 18. Twice the smaller number decreased by three equals the larger number. What are the two numbers? Show your work \n" ); document.write( "

Algebra.Com's Answer #692888 by MathLover1(20850) $\"\"$ $\"About$

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let's numbers be $\"x\"$ and $\"y\"$ where $\"y\"$ is the smaller number\r
\n" ); document.write( "\n" ); document.write( "if the sum of two numbers is $\"18\"$ , we know that\r
\n" ); document.write( "\n" ); document.write( " $\"x%2By=18\"$ ........solve for $\"x\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"x=18-y\"$ .........eq.1\r
\n" ); document.write( "\n" ); document.write( "if twice the smaller number $\"decreased\"$ by three equals the larger number, we have
\n" ); document.write( " $\"x=2y-3\"$ .....eq.2\r
\n" ); document.write( "\n" ); document.write( "in eq.1 and eq.2 we see that left sides are equal; so, right sides are equal too\r
\n" ); document.write( "\n" ); document.write( " $\"18-y=2y-3\"$ ....solve for $\"y\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"18%2B3=2y%2By\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"21=3y\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"y=21%2F3\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"y=7\"$ \r
\n" ); document.write( "\n" ); document.write( "go to $\"x=2y-3\"$ .....eq.2, substitute $\"y\"$ and solve for $\"x\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"x=2%2A7-3\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"x=14-3\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"x=11\"$ \r
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\n" ); document.write( "\n" ); document.write( "so, your two numbers are $\"11\"$ and $\"7\"$
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