The average height of 6 employees of a company is 152 cm. When an employee leaves the company, the new average becomes 156 cm. Find the height of employee who left the company.

Options

A. 132cm
B. 138cm
C. 152cm
D. 140cm

Answer

To solve the problem, we need to follow these steps:

### Step 1: Calculate the total height of the 6 employees.
The average height of the 6 employees is given as 152 cm. The formula for average is:

\[ \text{Average} = \frac{\text{Total Height}}{\text{Number of Employees}} \]

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

\[ \text{Total Height} = \text{Average} \times \text{Number of Employees} \]

Substituting the values:

\[ \text{Total Height} = 152 \, \text{cm} \times 6 = 912 \, \text{cm} \]

### Step 2: Calculate the total height of the remaining 5 employees after one leaves.
When one employee leaves, the new average height of the remaining 5 employees is 156 cm. We can use the same formula to find the total height of these 5 employees:

\[ \text{Total Height of 5 Employees} = \text{Average} \times \text{Number of Employees} \]

Substituting the values:

\[ \text{Total Height of 5 Employees} = 156 \, \text{cm} \times 5 = 780 \, \text{cm} \]

### Step 3: Find the height of the employee who left.
To find the height of the employee who left, we can subtract the total height of the remaining 5 employees from the total height of the original 6 employees:

\[ \text{Height of Employee Who Left} = \text{Total Height of 6 Employees} - \text{Total Height of 5 Employees} \]

Substituting the values:

\[ \text{Height of Employee Who Left} = 912 \, \text{cm} - 780 \, \text{cm} = 132 \, \text{cm} \]

### Final Answer:
The height of the employee who left the company is **132 cm**.

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