Question

4. Out of 12 employs of bank, one employs retires and his place, a new empruyo r
Joins as a result average age of a employs reduces by 4 retires and his place, a new employs of a
age 24 years Joins as a result average age of a employs reduces by 4 years. The age retired
employs is?
(a) 72
(b) 62
(b) 64
(d) 71
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Answer 1

Answer:

64 is the correct answer I think so....

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Answer 2

Answer:

The age of the retired employee is 72 years.

Step-by-step explanation:

Given that :

• Average age of 12 employee reduced to 4 when a new employee of age 24 joins on the place of retired employee.

To find :

• Age of retired employee

Solution :

• Let, the age of retired employee be R years and sum of age of other 11 employees be y years.
• The average of retired employee and other 11 employees be x years . Then,

$\frac{ R+ y}{12} = x \\ R + y = 12x \: \: - - - (1)$

• When the new employee joins, the average age is reduced by 4. The age of new employee is 24 years.

$\frac{y + 24}{12} = (x - 4) \\ y + 24 = 12x - 48 \\ putting \: value \: of \: 12x \: from \: equation(1) \\ y + 24 = R+ y - 48 \\ R = 48 + 24 = 72 \: years$

• Hence, age of the retired employee is 72 years.