Given Information:

- Let the age of the man be M years
- Let the age of his first son be X years
- Let the age of his second son be Y years

We need to find out the present age of the man.

Solution:

1. Formulating equations

From the given information, we can formulate two equations:

- M = 2(X + Y) ----(1) (Age of the man is twice the sum of his two sons)
- M - 5 = 2(X - 5 + Y - 5) ----(2) (Five years ago, his age was twice the sum of his two sons)

2. Simplifying equations

Let's simplify equation (2):

- M - 5 = 2(X - 5 + Y - 5)
- M - 5 = 2(X + Y - 10)
- M - 5 = 2(X + Y) - 20
- M = 2(X + Y) - 15 ----(3)

Now, we have two equations (1) and (3) with two variables M and (X+Y). We can solve these equations to get the values of M and (X+Y).

3. Solving equations

Substituting equation (1) in equation (3), we get:

- M = 2(X + Y) - 15
- 2(X + Y) = M + 15
- X + Y = (M + 15)/2 ----(4)

Substituting equation (4) in equation (1), we get:

- M = 2(X + Y)
- M = 2[(M + 15)/2]
- M = M + 15
- 15 = M - M
- 15 = 0

This is not possible. It means our equations are inconsistent. There must be some mistake in the problem statement.

4. Correcting mistake

Let's assume that the age of the man is thrice the sum of his two sons instead of twice. Then the equations become:

- M = 3(X + Y) ----(1)
- M - 5 = 2(X - 5 + Y - 5) ----(2)

Substituting equation (1) in equation (2), we get:

- M - 5 = 2(X - 5 + Y - 5)
- M - 5 = 2(X + Y - 10)
- M - 5 = 2(X + Y) - 20
- M = 2(X + Y) - 15 ----(3)

Substituting equation (1) in equation (3), we get:

- M = 2(X + Y) - 15
- 3(X + Y) = 2(X + Y) - 15
- X + Y = -15

This is not possible. It means our assumption is wrong.

Let's assume that the age of the man is half the sum of his two sons. Then the equations become:

- M = (X + Y)/2 ----(1)
- M - 5 = 2(X - 5 + Y - 5) ----(2)

Substituting equation (1) in equation (2), we get:

- M - 5 =

50