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The average age of 45 persons is decreased by 1/9 year when one of them of 60 years is replaced by a new comer. Then the age of the new comer is :
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- 45 years
- 55 years
- 59 years
- 49 years
- 45 years
Correct Option: B
Here , Age of replaced person = 60 years
According to question ,
| Reduction in total age of 45 persons = 45 × | 1 |
| 9 |
| Age of the new person = 60 - 45 × | 1 | = 55 years |
| 9 |
Second method to solve this question with the help of given formula :
| Here , X = 45 , n = | 1 |
| 9 |
| Age of new comer = Age of replaced member – Xn = 60 – 45 × | 1 |
| 9 |
Age of new comer = 60 – 5 = 55 years
