document.write( "Question 764032: Please help me solve this word problem: The sum of two numbers is 41. One number is one less than twice the other. Find the larger of the two numbers. I would also, if you don't mind, if you can show me step by step on how you get the answer. Thank you so much. \n" ); document.write( "
Algebra.Com's Answer #465151 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! The sum of two numbers is 41. \n" ); document.write( "One number is one less than twice the other. \n" ); document.write( "Find the larger of the two numbers. \n" ); document.write( "------ \n" ); document.write( "Equations: \n" ); document.write( "a + b = 41 \n" ); document.write( "a = 2b -1 \n" ); document.write( "------------------- \n" ); document.write( "Substitute for \"a\" and solve for \"b\" \n" ); document.write( "2b-1 + b = 41 \n" ); document.write( "---- \n" ); document.write( "3b = 42 \n" ); document.write( "b = 14 \n" ); document.write( "----- \n" ); document.write( "Solve for \"a\": \n" ); document.write( "a = 2b-1 \n" ); document.write( "a = 2*14-1 = 27 \n" ); document.write( "----------------------------- \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "================== \n" ); document.write( " |