document.write( "Question 607512: N is a five- digit positive integer. A six-digit integer P is constructed by placing a 1 at the right hand end of N. A second six digit Q is constructed by placing a 1 at the left hand end of N. If P is three times Q, determine the value of N. \n" ); document.write( "
Algebra.Com's Answer #390547 by w_parminder(53)![]() ![]() You can put this solution on YOUR website! \n" ); document.write( "Given 5-digit number = N \n" ); document.write( "A.T.Q. \n" ); document.write( "P = 10 x N + 1 \n" ); document.write( " = 10N + 1\r \n" ); document.write( "\n" ); document.write( "Q = 100000 + N\r \n" ); document.write( "\n" ); document.write( "Also P = 3 x Q \n" ); document.write( "So 10N + 1 = 3(100000 + N) \n" ); document.write( "10N + 1 = 300000 + 3N \n" ); document.write( "10N - 3N = 300000 - 1 \n" ); document.write( "7N = 299999 \n" ); document.write( "N = 299999/7 \n" ); document.write( "N = 42857\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |