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The average age of 12 people is 32 years. If the age of one person is added, the average increases by one year. What is the age of the new person?


1. 33
2. 45
3. 37
4. 29
5. None of these

1 Answer

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Best answer
Correct Answer - Option 2 : 45

Given:

Average of 12 people = 32 years

Average of 13 people = 33 years

Formula used:

Average = sum of values/number of values

Calculation:

Average age of 12 people = 32 years

Total age of 12 people = 12 × 32

⇒ 384

The age of one person is added, the average increases by one year 

The average of 13 people = 33

Total age of 13 people = 33 × 13

⇒ 429

New person age = sum of 13 persons age - the sum of 12 persons 

⇒ New person age = 429 - 384

⇒ 45

∴ The age of the new person is 45 years.

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