document.write( "Question 405724: Can you help me understand how to solve this word problem...\"the ones digit of a two digit number is 5 less than the tens digit, and the number is 55 more than three times thesum of the digits. What is the number?\". I don't want the answer, but wantto learn how to solve it thanks \n" ); document.write( "
Algebra.Com's Answer #286532 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! Let x = the 10's digit \n" ); document.write( "Let y = the units (ones) \n" ); document.write( "then \n" ); document.write( "10x+y = \"the number\" \n" ); document.write( ": \n" ); document.write( "Write an equation for each statement: \n" ); document.write( ": \n" ); document.write( "\"the ones digit of a two digit number is 5 less than the tens digit,\" \n" ); document.write( "y = x - 5 \n" ); document.write( ": \n" ); document.write( "\"the number is 55 more than three times the sum of the digits.\" \n" ); document.write( "10x + y = 55 + 3(x+y) \n" ); document.write( "Remove the brackets \n" ); document.write( "10x + y = 55 + 3x + 3y \n" ); document.write( "Combine like terms, x on the left, y on the right \n" ); document.write( "10x - 3x = 3y - y + 55 \n" ); document.write( "7x = 2y + 55 \n" ); document.write( ": \n" ); document.write( "from the 1st equation we know y = (x-5), substitute for y in the above equation \n" ); document.write( "find x, then find y \n" ); document.write( "7x = 2(x-5) + 55 \n" ); document.write( ": \n" ); document.write( "You should be able so solve it now, did this make sense to you?\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " What is the number?\" \n" ); document.write( " |