document.write( "Question 314719: Three times a larger number added to 4 times a smaller number totals 24. When twice the smaller number is subtracted from twice the larger number, the result is 2. What are the two numbers? \n" ); document.write( "
Algebra.Com's Answer #225064 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! Three times a larger number added to 4 times a smaller number totals 24. \n" ); document.write( "--- \n" ); document.write( "3L + 4S = 24 \n" ); document.write( "------------------- \n" ); document.write( "When twice the smaller number is subtracted from twice the larger number, the result is 2. \n" ); document.write( "------------------- \n" ); document.write( "2L - 2S = 2 \n" ); document.write( "------------------------ \n" ); document.write( "What are the two numbers? \n" ); document.write( "--- \n" ); document.write( "Rearrange: \n" ); document.write( "L - S = 1 \n" ); document.write( "3L + 4S = 24 \n" ); document.write( "--- \n" ); document.write( "Substitute for \"L\" and solve for \"S\": \n" ); document.write( "3(S+1)+4S = 24 \n" ); document.write( "7S + 3 = 24 \n" ); document.write( "S = 3 (smaller number) \n" ); document.write( "--- \n" ); document.write( "Since L = S+1, L = 4 (larger number) \n" ); document.write( "======================================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "===============\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "-------------------------------------------------------------------------------- \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " |