The sum of three numbers is 253. If the first number be twice the second and third number be one-third of the first, then the second number is

Correct option is C

Given:
Sum of three numbers = 253
First number = 2 $$\times$$​ Second number
Third number =$$\frac{1}{3}$$​ $$\times$$First number​
Solution:
Let the second number be 'x'.
Then, the first number is 2x.
The third number is $$\frac{1}{3}\times$$​ 2x = $$\frac{2}{3}$$​x.
The sum of the three numbers is 253.
2x + x + $$\frac{2}{3}$$​x = 253
6x + 3x + 2x = 759
11x = 759
x = 69
The second number is x, which is 69.
Therefore, the second number is 69.