| The average age of board of directors of a company, having 10 directors was 48 yr. coincidentally when a director aged 53 resigned from the board of directors, another director died on the same day. So, a new director joined the board of directors aged 34. Next year in the same month, the average age of the all 9 directors was found to be 46 yr. The age of the late (i.e. dead) director at the time of his death was |
A) 56 yr
B) 53 yr
C) 57 yr
D) 61 yr
Correct Answer: A
Solution :
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| One year later, total age is | ||||||||||||||||
| \[480-(53+x)+34+9\times 1=414\] | ||||||||||||||||
| \[\Rightarrow \] \[x=56\,\,yr\] | ||||||||||||||||
| where, x is the age of the death person at the time of his death. |
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