Equal masses of three liquids A,B and C are taken. Their initial temperature are `10^@C,25^@C` and `40^@C` respectively. When A and B are mixed the temperature of the mixutre is `19^@C`. When B and C are mixed, the temperature of the mixture is `35^@C`. Find the temperature if all three are mixed.

Explanation

To solve the problem, we need to find the final temperature when equal masses of three liquids A, B, and C are mixed, given their initial temperatures and the temperatures of their mixtures when combined in pairs.

### Step 1: Define the specific heat capacities and initial temperatures
Let:
- \( C_A \) = specific heat capacity of liquid A
- \( C_B \) = specific heat capacity of liquid B
- \( C_C \) = specific heat capacity of liquid C

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