If the average of the three persons is 56 years and their ages are in the ratio 2 : 5 : 7 , then find the age of the youngest person.
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. 24 years.
Let the ages of three persons be 2x, 5x, and 7x.
So, (2x + 5x + 7x)/3 = 56
⇒ 14x/3 = 56
⇒ x = 168/14 = 12
⇒ x = 12
⇒ 2x = 2 × 12 = 24
Therefore, the age of the youngest person is 24 years.