Define variables and relationships

Let the age of Tanu be $T$. Given that Kanu is twice as old as Tanu, we have $K = 2T$. Since Anu is two years older than Kanu, we have $A = 2T + 2$.

$A = 2T + 2, K = 2T$

Set up the sum equation

The sum of their ages is given as 32. Substituting the expressions in terms of $T$ gives $(2T + 2) + 2T + T = 32$.

$5T + 2 = 32$

Solve for Tanu's age

Solving $5T = 30$ results in $T = 6$. So, Tanu is $6$ years old.

$T = 6$

Calculate Anu's age and the final difference

Using $T = 6$, we find $A = 2(6) + 2 = 14$. The difference between the ages of Anu ($14$) and Tanu ($6$) is $14 - 6 = 8$.

$A - T = 14 - 6 = 8$