The average age of 24 men and 1 woman is equal to 35 years. If 1 woman left, the average becomes 34 years. Find the age of woman who left the class?

Answer

To find the age of the woman who left the class, we can follow these steps:

### Step 1: Calculate the total age of 24 men and 1 woman
The average age of 24 men and 1 woman is given as 35 years. Since there are 25 individuals in total (24 men + 1 woman), we can calculate the total age using the formula for average:

\[ \text{Total Age} = \text{Average Age} \times \text{Number of Individuals} \]

Substituting the values:

\[ \text{Total Age} = 35 \times 25 = 875 \text{ years} \]

### Step 2: Calculate the total age of 24 men after the woman leaves
After the woman leaves, the average age of the remaining 24 men is given as 34 years. We can again use the average formula to find the total age of the 24 men:

\[ \text{Total Age of 24 Men} = \text{Average Age} \times \text{Number of Men} \]

Substituting the values:

\[ \text{Total Age of 24 Men} = 34 \times 24 = 816 \text{ years} \]

### Step 3: Find the age of the woman who left
Now that we have the total age of 24 men and the total age of 24 men and 1 woman, we can find the age of the woman who left by subtracting the total age of the 24 men from the total age of 24 men and 1 woman:

\[ \text{Age of Woman} = \text{Total Age of 24 Men and 1 Woman} - \text{Total Age of 24 Men} \]

Substituting the values:

\[ \text{Age of Woman} = 875 - 816 = 59 \text{ years} \]

### Conclusion
The age of the woman who left the class is **59 years**.

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