document.write( "Question 364998: The sum of the digits of a positive 2-digit number is 13 If twice the first digit is 1 less than the second digit, what is the two digit number? \n" ); document.write( "
Algebra.Com's Answer #260229 by amoresroy(361)![]() ![]() You can put this solution on YOUR website! The sum of the digits of a positive 2-digit number is 13 If twice the first digit is 1 less than the second digit, what is the two digit number?\r \n" ); document.write( "\n" ); document.write( "Let x = the unit's digit as the first digit \n" ); document.write( " y = the ten's digit as the second digit\r \n" ); document.write( "\n" ); document.write( "1st equation \n" ); document.write( "x+y = 13\r \n" ); document.write( "\n" ); document.write( "2nd equation \n" ); document.write( "2x = y-1 \n" ); document.write( "y = 2x+1\r \n" ); document.write( "\n" ); document.write( "Substituting y=2x+1 in equation 1 gives us \n" ); document.write( "x+(2x+1)=13 \n" ); document.write( " 3x =13-1 \n" ); document.write( " x =4\r \n" ); document.write( "\n" ); document.write( "Then y = 13-4=9\r \n" ); document.write( "\n" ); document.write( "The 2-digit number is 94 \n" ); document.write( " \n" ); document.write( " |