The ratio of present age of A to B’s is 3 : 2. Five years ago, A age was twice…

Define the present ages:

The ratio of A's age to B's age is 3:2. Let A = 3x and B = 2x.

Use the past condition:

Five years ago, A's age was (3x - 5) and B's age was (2x - 5).

The condition states: "A age was twice than that of B age at that time."

Equation: (3x - 5) = 2 * (2x - 5)

3x - 5 = 4x - 10

x = 5

Determine current ages of A and B:

A's present age = 3 * 5 = 15

B's present age = 2 * 5 = 10

Use the future condition:

"Five years hence, sum of ages of A and B is equal to C age at that time."

A's age in 5 years = 15 + 5 = 20

B's age in 5 years = 10 + 5 = 15

Sum = 20 + 15 = 35

So, C's age five years hence will be 35.

Calculate C's present age:

If C is 35 five years from now, C's present age = 35 - 5 = 30.

The correct answer is 30, which corresponds to Option 5.