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, we will follow these steps:

### Step 1: Set Up the Equations for Mixing A and B
When equal masses of liquids A and B are mixed, the equilibrium temperature is given as 13°C. We can set up the equation based on the principle of calorimetry, which states that the heat lost by the hotter liquid equals the heat gained by the cooler liquid.

Let:
- \( S_A \) = specific heat of liquid A
- \( S_B \) = specific heat of liquid B
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