document.write( "Question 29356: Please help me solve my son's word problem. The sum of two number is 63. Three times the larger number is 14 more than two times the smaller number. What are the numbers? Thank you. \n" ); document.write( "
Algebra.Com's Answer #16157 by askmemath(368)![]() ![]() ![]() You can put this solution on YOUR website! Let the 2 numbers = X and Y \n" ); document.write( "Given X+Y = 63 \n" ); document.write( "Let the Larger Number = X \n" ); document.write( "3X = 2Y+14\r \n" ); document.write( "\n" ); document.write( "X+Y = 63 \n" ); document.write( "multiply both sides with 3 \n" ); document.write( "3X+3Y = 63*3 \n" ); document.write( "But we already know that 3X = 2Y+14 \n" ); document.write( "2Y+14+3Y= 189 \n" ); document.write( "5y+14 = 189 \n" ); document.write( "Subtracting 14 on both sides \n" ); document.write( "5Y = 189-14 \n" ); document.write( "5Y = 175 \n" ); document.write( "Dividing by 5 on both sides \n" ); document.write( "Y = 35 \n" ); document.write( "X = 63-35 = 28\r \n" ); document.write( "\n" ); document.write( "Ok, I've looked at this a number of times and for the life of me I cannot figure out where I am wrong since X is supposed to be the larger number and yet I get the value of X smaller than Y. \n" ); document.write( " |