document.write( "Question 829925: The sum of two numbers is 80 and the difference of the two numbers is 22. What are the numbers \n" ); document.write( "
Algebra.Com's Answer #500245 by JulietG(1812)![]() ![]() You can put this solution on YOUR website! Let the numbers be X and Y. \n" ); document.write( "The information you're given is: \n" ); document.write( "X + Y = 80 \n" ); document.write( "X - Y = 22 \n" ); document.write( "Add them together. \n" ); document.write( "2X + (Ys cancel each other out) = 102 \n" ); document.write( "Divide each side by 2. \n" ); document.write( "X = 51 \n" ); document.write( "If X is 51, and X + Y = 80, then Y = 80-51 or 29 \n" ); document.write( ". \n" ); document.write( "Let's put these back into the original equation to prove. \n" ); document.write( "X (51) + Y (29) = 80 \n" ); document.write( "51+29 does indeed equal 80. \n" ); document.write( "Now the other. \n" ); document.write( "X (51) - Y (29) = 22 \n" ); document.write( "51-29 does indeed equal 22. \n" ); document.write( ". \n" ); document.write( "Success! \n" ); document.write( " |