document.write( "Question 57740: The sum of two numbers is 33. Their differeence is 7. What are the two numbers. \n" ); document.write( "
Algebra.Com's Answer #39419 by funmath(2933)\"\" \"About 
You can put this solution on YOUR website!
The sum of two numbers is 33. Their differeence is 7. What are the two numbers?
\n" ); document.write( "Let one number be: x
\n" ); document.write( "Let the other be: y
\n" ); document.write( "x+y=33
\n" ); document.write( "x-y=7 -->x=7+y substitute that in for x in the first equation and solve for y.
\n" ); document.write( ":
\n" ); document.write( "(7+y)+y=33
\n" ); document.write( "7+y+y=33
\n" ); document.write( "7+2y=33
\n" ); document.write( "-7+7+2y=-7+33
\n" ); document.write( "2y=26
\n" ); document.write( "2y/2=26/2
\n" ); document.write( "y=13 substitute that in for y in the second equation and solve for x.
\n" ); document.write( "x-(13)=7
\n" ); document.write( "x-13=7
\n" ); document.write( "x-13+13=7+13
\n" ); document.write( "x=20
\n" ); document.write( "Therefore one number is 13 and the other is 20.
\n" ); document.write( ":
\n" ); document.write( "Check:
\n" ); document.write( "20+13=33
\n" ); document.write( "33=33
\n" ); document.write( "and
\n" ); document.write( "20-13=7
\n" ); document.write( "7=7
\n" ); document.write( "We're right!!!
\n" ); document.write( "Happy Calculating!!! \n" ); document.write( "
\n" );