Question

The average age of 25 persons is 40 years. If 2 persons of ages 45 years and 62 years join the society, then what will be the average age of all members of society?
1. 41
2. 42.9
3. 43
4. 44.5

Answer 1

Correct Answer - Option 1 : 41

Given:

Average age of 25 persons = 40 years

Ages of 2 new persons = 45 years, 62 years

Formula Used:

Average = Sum of ages/Total number of persons

Calculations:

Average age of 25 persons = 40 years

⇒ Total age of 25 persons = 40 × 25 = 1000

Ages of 2 new persons = 45 years, 62 years

⇒ Number of persons = 25 + 2 = 27

Sum of ages of 27 persons = (1000 + 45 + 62) years

⇒ Sum of ages of 27 persons = 1107 years

Average age of all members = 1107/27

⇒ Average age of all members = 41

∴ The average age of all members of society is 41.