document.write( "Question 940640: The difference of two numbers is 18. The sum of the numbers is 84. What is the larger number? What is the smaller number? \n" ); document.write( "
Algebra.Com's Answer #573313 by macston(5194) You can put this solution on YOUR website! x-y=18 eq1 \n" ); document.write( "x+y=84 eq2 \n" ); document.write( "Solve eq1 for x \n" ); document.write( "x-y=18 add y to both sides \n" ); document.write( "x=18+y \n" ); document.write( "Substitute for x in eq2 \n" ); document.write( "18+y+y=84 subtract 18 from each side \n" ); document.write( "18+y+y-18=84-18 \n" ); document.write( "y+y=66 \n" ); document.write( "2y=66 divide both sides by 2 \n" ); document.write( "y=33 ANSWER 2 Smallest Number \n" ); document.write( "x-y=18 \n" ); document.write( "x-33=18 \n" ); document.write( "x=51 ANSWER 1 Largest number\r \n" ); document.write( "\n" ); document.write( "CHECK: \n" ); document.write( "x+y=84 \n" ); document.write( "51+33=84 \n" ); document.write( "84=84 \n" ); document.write( " \n" ); document.write( " |