document.write( "Question 424706: The sum of the digits of a three digit number is 17. The middle digit is two more than the first digit. The third digit is one less than twice the first digit. Find the number. \n" ); document.write( "
Algebra.Com's Answer #295986 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! let the 3 digits be x, y, z \n" ); document.write( ": \n" ); document.write( "Write an equation for each statement: \n" ); document.write( "\"The sum of the digits of a three digit number is 17.\" \n" ); document.write( "x + y + z = 17 \n" ); document.write( ": \n" ); document.write( "\" The middle digit is two more than the first digit.\" \n" ); document.write( "y = x+2 \n" ); document.write( ": \n" ); document.write( "\"The third digit is one less than twice the first digit.\" \n" ); document.write( "z = 2x - 1 \n" ); document.write( ": \n" ); document.write( "Find the number. \n" ); document.write( "using the 1st equation, substitute for y and z from the 2nd and 3rd equations \n" ); document.write( "x + (x+2) + (2x-1) = 17 \n" ); document.write( "4x + 1 = 17 \n" ); document.write( "4x = 17 - 1 \n" ); document.write( "4x = 16 \n" ); document.write( "x = 4 \n" ); document.write( ": \n" ); document.write( "I'll let you find y and z, make sure they add up to 17 \n" ); document.write( " |