Average Age of Anu and Dhanu

Let the ages be:
Anu = \(A\), Bhanu = \(B\), Chanu = \(C\), Dhanu = \(D\)

Given:
1) \(A + B = 10 + B + C + D \Rightarrow A = 10 + C + D\)
2) Average age of Chanu and Dhanu = 19
\(\Rightarrow \frac{C + D}{2} = 19 \Rightarrow C + D = 38\)
3) Dhanu is 10 years elder than Chanu:
\(D = C + 10\)

Substitute \(D\) in \(C + D = 38\):
\[ C + (C + 10) = 38 \Rightarrow 2C = 28 \Rightarrow C = 14 \] \[ D = 14 + 10 = 24 \]

Now, \(A = 10 + C + D = 10 + 14 + 24 = 48\)

Average age of Anu and Dhanu:
\[ \frac{A + D}{2} = \frac{48 + 24}{2} = \frac{72}{2} = 36 \]

Answer: The average age of Anu and Dhanu is 36 years.