Question : The average age of four brothers is 24 years. If their father is included, the average is increased by 6 years. Find the age of the father (in years).
Option 1: 50 years
Option 2: 52 years
Option 3: 54 years
Option 4: 55 years
Correct Answer: 54 years
Solution :
Given,
The average age of four brothers is 24 years
⇒ Total age of four brothers = 24 × 4 = 96
Now, their father is included and the average is increased by 6 years
⇒ New Average = 24 + 6 = 30 years
⇒ Total age of four brothers + Age of father = 30 × 5 = 150
⇒ 96 + Age of father = 150
$\therefore$ Age of father = 150 – 96 = 54 years
Hence, the correct answer is 54 years.
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