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The average age of 5 persons is 30. A person 23 year of age leave the group and a new person has joined then average age increase to 35. What is the age of the new person?.
1. 45 year
2. 48 year
3. 23 year
4. 25 year

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Best answer
Correct Answer - Option 2 : 48 year

Given:

The average age of five persons = 30 years

Age of the person who leaves the group = 23 years

Calculation:

⇒ Total age of the group before a person leaves = 30 × 5 = 150 year

⇒ Total age of the group when the person leaves the group = 150 - 23 = 127 years

⇒ Total age of the group when a new person has joined = 35 × 5 = 175 year

⇒ Age of new person = 175 - 127 = 48 years

∴ The required result will be 48 years.

Alternate Solution:

The age of new person = y + nx = 23 + 5 × 5 = 48 years.

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