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The average age of board of directors of a company having 15 directors was 48 years. When a director aged 56 resigned from the board of directors another director died on the same day. A new director joined board of directors aged 36. Next year the average age of all 14 directors was found to be 48 years. The age of late director at the time of his death was _______
- a)48 years
- b)42 years
- c)45 years
- d)40 years
- e)None of these
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
The average age of board of directors of a company having 15 directors...
Before Death = 48*15 = 720
The age of late director at the time of his death
720 - (56+x) + 36 + 14 = 672
X = 42
The age of late director at the time of his death
720 - (56+x) + 36 + 14 = 672
X = 42
Most Upvoted Answer
The average age of board of directors of a company having 15 directors...
Before Death = 48*15 = 720
The age of late director at the time of his death
720 - (56+x) + 36 + 14 = 672
X = 42
The age of late director at the time of his death
720 - (56+x) + 36 + 14 = 672
X = 42
Community Answer
The average age of board of directors of a company having 15 directors...
Given:
- The company had 15 directors and the average age was 48 years.
- One director aged 56 resigned and another director died on the same day.
- A new director aged 36 joined the board.
- Next year, the average age of all 14 directors was 48 years.
To find: The age of the late director at the time of his death.
Solution:
Let's first find the sum of ages of all 15 directors before any changes occurred.
15 directors x 48 years = 720 years
This means the total age of all directors was 720 years.
After the changes occurred:
- One director aged 56 resigned, so we subtract 56 from the total age.
720 - 56 = 664
- Another director died on the same day, so we subtract that director's age as well.
664 - x = 2(14) [since there are now 14 directors left]
664 - x = 28
x = 636
The age of the deceased director was 636 years.
A new director aged 36 joined the board, so we add 36 to the total age.
636 + 36 = 672
Next year, the average age of all 14 directors was 48 years. This means the total age of all directors was:
14 directors x 48 years = 672 years
So, the sum of ages of all directors after the changes is also 672 years.
We can set up an equation to find the age of the deceased director:
(636 - age of the deceased director) + 36 = 672
Solving for the age of the deceased director:
600 + age of the deceased director = 672
age of the deceased director = 72
Therefore, the age of the late director at the time of his death was 72 years.
Answer: Option (B) 42 years.
- The company had 15 directors and the average age was 48 years.
- One director aged 56 resigned and another director died on the same day.
- A new director aged 36 joined the board.
- Next year, the average age of all 14 directors was 48 years.
To find: The age of the late director at the time of his death.
Solution:
Let's first find the sum of ages of all 15 directors before any changes occurred.
15 directors x 48 years = 720 years
This means the total age of all directors was 720 years.
After the changes occurred:
- One director aged 56 resigned, so we subtract 56 from the total age.
720 - 56 = 664
- Another director died on the same day, so we subtract that director's age as well.
664 - x = 2(14) [since there are now 14 directors left]
664 - x = 28
x = 636
The age of the deceased director was 636 years.
A new director aged 36 joined the board, so we add 36 to the total age.
636 + 36 = 672
Next year, the average age of all 14 directors was 48 years. This means the total age of all directors was:
14 directors x 48 years = 672 years
So, the sum of ages of all directors after the changes is also 672 years.
We can set up an equation to find the age of the deceased director:
(636 - age of the deceased director) + 36 = 672
Solving for the age of the deceased director:
600 + age of the deceased director = 672
age of the deceased director = 72
Therefore, the age of the late director at the time of his death was 72 years.
Answer: Option (B) 42 years.
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The average age of board of directors of a company having 15 directors was 48 years.When a director aged 56 resigned from the board of directors another director died on the same day. A new director joined board of directors aged 36. Next yearthe average age of all 14 directors was found to be 48 years. The age of late director at the time of his death was _______a)48 yearsb)42 yearsc)45 yearsd)40 yearse)None of theseCorrect answer is option 'B'. Can you explain this answer?
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