document.write( "Question 866525: difference of two numbers is 24, larger number is four less than three times the smaller number \n" ); document.write( "
Algebra.Com's Answer #522345 by JulietG(1812)![]() ![]() You can put this solution on YOUR website! A - B = 24 [difference of two numbers is 24] \n" ); document.write( "A = 3B - 4 [larger number is four less than three times the smaller number] \n" ); document.write( ". \n" ); document.write( "Replace the known value of A from the second equation into the first. \n" ); document.write( "(3B-4) - B = 24 \n" ); document.write( "Subtract \n" ); document.write( "2B-4 = 24 \n" ); document.write( "Add 4 to each side \n" ); document.write( "2B = 28 \n" ); document.write( "Divide each side by 2 \n" ); document.write( "B = 14 \n" ); document.write( ". \n" ); document.write( "If the smaller number is 14 and the difference is 24, then A = 14+24, or 38 \n" ); document.write( ". \n" ); document.write( "Let's see if that works: \n" ); document.write( "38 = (3*14) - 4 \n" ); document.write( "38 = 42-4 \n" ); document.write( "38=38 \n" ); document.write( "Success! \n" ); document.write( " |