A man retired from his service at the age of 60. He served for `3/5` th years of his retirement age. He joined his job at the age of:

Options

A. 18 years
B. 20 years
C. 24 years
D. 36 years

Answer

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

### Step 1: Determine the retirement age and the duration of service.
The man retired at the age of 60 years. He served for \( \frac{3}{5} \) of his retirement age.

### Step 2: Calculate the duration of service.
To find out how many years he served, we need to calculate \( \frac{3}{5} \) of 60 years.

\[ \text{Duration of service} = \frac{3}{5} \times 60 \]

Calculating this:

\[ \frac{3 \times 60}{5} = \frac{180}{5} = 36 \text{ years} \]

### Step 3: Determine the age when he joined the job.
Since he served for 36 years and retired at the age of 60, we can find out the age at which he joined his job by subtracting the duration of service from his retirement age.

\[ \text{Age when he joined} = \text{Retirement age} - \text{Duration of service} \]

Calculating this:

\[ \text{Age when he joined} = 60 - 36 = 24 \text{ years} \]

### Final Answer:
The man joined his job at the age of 24 years.

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