Question : The average age of a family with 5 members is 28 years. If one of the members of age 20 years is excluded, the average age of the family becomes:
Option 1: 25 years
Option 2: 20 years
Option 3: 30 years
Option 4: 24 years
Correct Answer: 30 years
Solution :
The average age of 5 members = 28 years
$\therefore$ Sum of the age of 5 members $= 28\times 5 = 140$
According to the question,
One member with the age of 20 is excluded.
$\therefore$ Only 4 members are left.
The sum of the ages of the 4 members
= the sum of the age of 5 members – the excluded one = 140 – 20 = 120
$\therefore$ New average = $\frac{120}{4}$ = 30
Hence, the correct answer is 30 years.
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