document.write( "Question 673937: Matt is thinking of two numbers. One number is 9 more then other number. The sum of the numbers is 45. What are the numbers? \n" ); document.write( "

Algebra.Com's Answer #418943 by Shana-D77(132) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let x be the first number.
\n" ); document.write( "Let y be the second number.
\n" ); document.write( "

\n" ); document.write( "\"One number (y) is (=) 9 more than ( + 9) other number (x).\"
\n" ); document.write( "y = x + 9
\n" ); document.write( "

\n" ); document.write( "\"sum of the numbers is 45.\"
\n" ); document.write( "x + y = 45
\n" ); document.write( "

\n" ); document.write( "So we have:
\n" ); document.write( "y = x + 9
\n" ); document.write( "x + y = 45
\n" ); document.write( "Use substitution:
\n" ); document.write( "x + y = 45
\n" ); document.write( "x + (x + 9) = 45
\n" ); document.write( "2x + 9 = 45 (combined like terms)
\n" ); document.write( "2x = 36 (subtracted 9 from both sides)
\n" ); document.write( "x = 18 (divided both sides by 2)
\n" ); document.write( "

\n" ); document.write( "Plug back in to find y:
\n" ); document.write( "y = x + 9
\n" ); document.write( "y = 18 + 9
\n" ); document.write( "y = 27
\n" ); document.write( "

\n" ); document.write( "Your numbers are 18 and 27. \n" ); document.write( "

\n" );