Question : There are 3 members in a family. The average age of the father and mother is 40 years. The average age of the father, mother, and daughter is 30 years. Find the age (in years) of the daughter.
Option 1: 6
Option 2: 12
Option 3: 10
Option 4: 8
Correct Answer: 10
Solution :
Given: The average age of the father (F) and mother (M) is 40 years.
So, M + F = 2 × 40 = 80 years
The average age of the father, mother, and daughter (D) is 30 years.
So, M + F + D = 3 × 30 = 90 years
So, age of daughter = 90 – 80 = 10 years
Hence, the correct answer is 10.
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