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)\"\" \"About 
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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
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