Let`s assume the present age of the father is F years, and the ages of his two sons are S1 and S2 years, respectively.

According to the given information:

"The age of a man is three times the sum of the ages of his two sons."

This can be expressed as F = 3 * (S1 + S2).

"Five years hence, his age will be doubled the sum of the ages of his sons."

This can be expressed as (F + 5) = 2 * (S1 + 5 + S2 + 5).

We can simplify the second equation to (F + 5) = 2 * (S1 + S2 + 10).

Now, let`s solve the equations to find the value of F:

From the first equation, we have F = 3 * (S1 + S2).

Substituting this value in the second equation, we get:

3 * (S1 + S2) + 5 = 2 * (S1 + S2 + 10).

Simplifying further, we have:

3 * S1 + 3 * S2 + 5 = 2 * S1 + 2 * S2 + 20.

Combining like terms, we get:

S1 + S2 = 15.

Now, let`s try different values of S1 and S2 that satisfy the equation S1 + S2 = 15:

If we assume S1 = 5 and S2 = 10, we can check if it satisfies the equation.

5 + 10 = 15, which is true.

Therefore, the ages of the two sons are 5 and 10 years, respectively.

Now, let`s find the age of the father:

F = 3 * (S1 + S2) = 3 * (5 + 10) = 3 * 15 = 45.

So, the father`s present age is 45 years.

Therefore, the correct answer is 45 years.