The number "N" is a 5 digit natural number. The 6 digit number N1, formed by placing the digit 1 after N, is 3 times as large as the 6 digit number 1N, formed by placing the 1 in front of N. What is the original 5 digit number N? Write each as an algebraic expression: N1 = ? and 1N = ? Write the equation to solve for finding "N"=
N =
N1 = 1 = 10N + 1
1N = 1 = 100000 + N
10N + 1 = 3(100000 + N)
10N + 1 = 300000 + 3N
7N = 299999
N = 42857
N1 = 428571
1N = 142857
Edwin