The average age of 25 men are 60 yrs. If another 5 men are added whose average age is 30 yrs, then find the average age of total men?

Options

A. A)50 yrs
B. B)55 yrs
C. C)60 yrs
D. D)45 yrs

Answer

To find the average age of the total men after adding 5 new men to the initial group of 25 men, we can follow these steps:

### Step 1: Calculate the total age of the first group of men.
The average age of the first group of 25 men is 60 years.

To find the total age of this group, we use the formula:
\[ \text{Total Age} = \text{Average Age} \times \text{Number of Men} \]
So,
\[ \text{Total Age of 25 men} = 60 \text{ years} \times 25 = 1500 \text{ years} \]

### Step 2: Calculate the total age of the second group of men.
The average age of the additional 5 men is 30 years.

Using the same formula:
\[ \text{Total Age of 5 men} = 30 \text{ years} \times 5 = 150 \text{ years} \]

### Step 3: Calculate the total age of all men combined.
Now, we can find the total age of all 30 men (25 + 5):
\[ \text{Total Age of all men} = \text{Total Age of 25 men} + \text{Total Age of 5 men} \]
\[ \text{Total Age of all men} = 1500 \text{ years} + 150 \text{ years} = 1650 \text{ years} \]

### Step 4: Calculate the average age of all men.
To find the average age of all 30 men, we divide the total age by the total number of men:
\[ \text{Average Age} = \frac{\text{Total Age of all men}}{\text{Total Number of Men}} = \frac{1650 \text{ years}}{30} \]
\[ \text{Average Age} = 55 \text{ years} \]

### Final Answer:
The average age of the total men is **55 years**.

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