The temperature of equal masses of three different liquids `A, B`, and `C` are `10^(@)C 15^(@)C` and `20^(@)C` respectively. The temperature when `A` and `B` are mixed is `13^(@)C` and when `B` and `C` are mixed. It is `16^(@)C`. What will be the temperature when `A` and `c` are mixed?

Explanation

To solve the problem step by step, we will use the principle of conservation of energy, which states that the heat lost by the hotter liquid will be equal to the heat gained by the cooler liquid when they are mixed.

### Step 1: Define the known temperatures
Let:
- Temperature of liquid A, \( T_A = 10^\circ C \)
- Temperature of liquid B, \( T_B = 15^\circ C \)
- Temperature of liquid C, \( T_C = 20^\circ C \)

...