Average weight of 17 players of a team is 22 kg. If a player leave the team then the average becomes 23 kg then find the weight of that player.

Answer

To solve the problem step by step, let's break it down:

### Step 1: Calculate the total weight of the 17 players
The average weight of the 17 players is given as 22 kg. The formula for average is:

\[ \text{Average} = \frac{\text{Total Weight}}{\text{Number of Players}} \]

So, we can rearrange this to find the total weight:

\[ \text{Total Weight} = \text{Average} \times \text{Number of Players} \]

Substituting the values:

\[ \text{Total Weight} = 22 \, \text{kg} \times 17 = 374 \, \text{kg} \]

### Step 2: Calculate the total weight after one player leaves
When one player leaves, the number of players becomes 16, and the new average weight is 23 kg. Again, we can use the average formula:

\[ \text{Total Weight after one player leaves} = \text{Average} \times \text{Number of Players} \]

Substituting the values:

\[ \text{Total Weight after one player leaves} = 23 \, \text{kg} \times 16 = 368 \, \text{kg} \]

### Step 3: Find the weight of the player who left
To find the weight of the player who left, we can subtract the total weight after the player leaves from the total weight before the player leaves:

\[ \text{Weight of the player who left} = \text{Total Weight before} - \text{Total Weight after} \]

Substituting the values:

\[ \text{Weight of the player who left} = 374 \, \text{kg} - 368 \, \text{kg} = 6 \, \text{kg} \]

### Final Answer
The weight of the player who left the team is **6 kg**.

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