document.write( "Question 956001: Thrice a digit of a number is 5 less than twice its other digit. If two of its digits are equal, what is the number if the sum of its digits is 13?pls help with solutions.thaks a lot. \n" ); document.write( "
Algebra.Com's Answer #584179 by ankor@dixie-net.com(22740) You can put this solution on YOUR website! We have 3 digits, two them the same; \n" ); document.write( "a, a, b \n" ); document.write( "Set up the equations so we can use elimination to solve this \n" ); document.write( ": \n" ); document.write( "Thrice a digit of a number is 5 less than twice its other digit. \n" ); document.write( "3a = 2b - 5 \n" ); document.write( "3a - 2b = -5 \n" ); document.write( " If two of its digits are equal, what is the number if the sum of its digits is 13? \n" ); document.write( "a + a + b = 13 \n" ); document.write( "2a + b = 13 \n" ); document.write( "multiply by 2, add to the first equation \n" ); document.write( "4a + 2b = 26 \n" ); document.write( "3a - 2b = -5 \n" ); document.write( "--------------Addition eliminates b, find a \n" ); document.write( "7a = 21 \n" ); document.write( "a = 21/7 \n" ); document.write( "a = 3 is the equal digits \n" ); document.write( "Find b using the equation 2a + b = 13 \n" ); document.write( "2(3) + b = 13 \n" ); document.write( "b = 13 - 6 \n" ); document.write( "b = 7 \n" ); document.write( ": \n" ); document.write( "the number could be 373 or 733 or 337 \n" ); document.write( " |