document.write( "Question 394552: the sum of two numbers is 36 .one number is two more than the other find the numbers \n" ); document.write( "

Algebra.Com's Answer #279944 by pie90010(44) $\"\"$ $\"About$

You can put this solution on YOUR website!
let number 1 be x
\n" ); document.write( "let number 2 be y (the larger number)
\n" ); document.write( "make your system of equations
\n" ); document.write( "\"the sum of two numbers is 36\" tells us that
\n" ); document.write( "x + y = 36
\n" ); document.write( "\"one number is two more than the other\" tells us that
\n" ); document.write( "2x = y
\n" ); document.write( "line this up now with the other equation
\n" ); document.write( "2x - y = 0
\n" ); document.write( " x + y = 36
\n" ); document.write( "Now the y's cancel, so just add them up
\n" ); document.write( "3x = 36
\n" ); document.write( "x = 12
\n" ); document.write( "now that you have x, to find y just plug it into the original equation
\n" ); document.write( "x + y = 36
\n" ); document.write( "12 + y = 36
\n" ); document.write( "y = 24
\n" ); document.write( "your final answer is
\n" ); document.write( "the 2 numbers are 24 and 12 \n" ); document.write( "

\n" );