Find the value of N in the following equation 1/3+2/9=(N+1)/(N+5).

Correct option is C

Solution:

​$$\frac{1}{3} + \frac{2}{9} = \frac{N+1}{N+5} \\\frac{3}{9} + \frac{2}{9} = \frac{5}{9} \\\frac{5}{9} = \frac{N+1}{N+5} \\5(N + 5) = 9(N + 1) \\5N + 25 = 9N + 9 \\5N - 9N = 9 - 25 \\-4N = -16 \\N = \frac{-16}{-4} = 4$$​​