The precent ages in years of two brothers $A$ and $B$,and their father $C$ are three distinct positive integers $a ,b$ and $c$ respectively .Suppose $\frac{b-1}{a-1}$ and $\frac{b+1}{a+1}$ are two consecutive integers , and  $\frac{c-1}{b-1}$ and $\frac{c+1}{b+1}$  are two consecutive integers . If $a+b+c\le 150$ , determine $a,b$ and $c$.
1. Given the conditions:
   \[
   \frac{b-1}{a-1} \text{ and } \frac{b+1}{a+1} \text{ are two consecutive integers}
   \]
   Let:
   \[
   \frac{b-1}{a-1} = k \quad \text{and} \quad \frac{b+1}{a+1} = k+1
   \]
   Then:
   \[
   \frac{b-1}{a-1} = \frac{b+1}{a+1} + 1
   \]

2. Cross-multiplying the fractions:
   \[
   (b-1)(a+1) = (a-1)(b+1) + (a+1)(a-1)
   \]
   Simplifying:
   \[
   (b-1)(a+1) = (a-1)(b+1) + a^2 - 1
   \]
   \[
   ab + a - b - 1 = ab + b - a - 1 + a^2 - 1
   \]
   \[
   a + b - 1 = b - a + a^2 - 1
   \]
   \[
   a + b = a^2 + b
   \]
   \[
   a^2 = 2a
   \]
   \[
   a^2 - 2a = 0
   \]
   \[
   a(a - 2) = 0
   \]
   Since \(a\) is a positive integer, \(a = 2\).

3. Similarly, for the second condition:
   \[
   \frac{c-1}{b-1} \text{ and } \frac{c+1}{b+1} \text{ are two consecutive integers}
   \]
   Let:
   \[
   \frac{c-1}{b-1} = m \quad \text{and} \quad \frac{c+1}{b+1} = m+1
   \]
   Then:
   \[
   \frac{c-1}{b-1} = \frac{c+1}{b+1} + 1
   \]

4. Cross-multiplying the fractions:
   \[
   (c-1)(b+1) = (b-1)(c+1) + (b+1)(b-1)
   \]
   Simplifying:
   \[
   (c-1)(b+1) = (b-1)(c+1) + b^2 - 1
   \]
   \[
   cb + c - b - 1 = bc + b - c - 1 + b^2 - 1
   \]
   \[
   c + b - 1 = b - c + b^2 - 1
   \]
   \[
   c + b = b^2 + b
   \]
   \[
   c = b^2
   \]

5. Given \(a = 2\), we need to find \(b\) and \(c\) such that \(a + b + c \leq 150\):
   \[
   a = 2
   \]
   \[
   b = 2k - 1 \quad \text{(since \(b\) must be an integer)}
   \]
   \[
   c = b^2
   \]

6. Testing values for \(b\):
   \[
   b = 7 \quad \text{(since \(b\) must be an integer and \(b = 2k - 1\))}
   \]
   \[
   c = 7^2 = 49
   \]
   \[
   a + b + c = 2 + 7 + 49 = 58 \leq 150
   \]

Thus, the values of \(a\), \(b\), and \(c\) that satisfy the given conditions are:
\[
a = 2, \quad b = 7, \quad c = 49
\]

The final answer is \(\boxed{(2, 7, 49)}\)