Question : The average age of 6 members of a family is 20 years. If the age of the servant is included, then the average age increases by 20%. What is the age of the servant?
Option 1: 52 Years
Option 2: 56 years
Option 3: 50 years
Option 4: 48 years
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Correct Answer: 48 years
Solution : Given: The average age of 6 members of a family is 20 years. If the age of the servant is included, the average age increases by 20%. Let the age of the servant be $x$. According to the question, $6×20+x=7×\frac{120}{100}×20$ ⇒ $x=168-120$ ⇒ $x=48$ Hence, the correct answer is 48 years.
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