document.write( "Question 210068: If there are two whole numbers that when added the sum is 118, and when the smaller is subtracted from the larger the difference is 36; What are the numbers? \n" ); document.write( "
Algebra.Com's Answer #158755 by Earlsdon(6294)![]() ![]() ![]() You can put this solution on YOUR website! Let a = the larger number and b = the smaller number. \n" ); document.write( "a+b = 118 \n" ); document.write( "a-b = 36 Rewrite this as a = b+36 and substitute into the first equation. \n" ); document.write( "(b+36)+b = 118 Simplify and solve for b. \n" ); document.write( "2b+36 = 118 Subtract 36 from both sides. \n" ); document.write( "2b = 82 Divide both sides by 2. \n" ); document.write( "b = 41 and... \n" ); document.write( "a = b+36 \n" ); document.write( "a = 41+36 \n" ); document.write( "a = 77 \n" ); document.write( " \n" ); document.write( " |