Question

Alpha, Beta and Gamma are three siblings. Alpha is two years older than Beta, who is twice as old as Gamma. If the total of their ages is 27 years, how old is Beta?

Answer 1

Solution :-

It is clear from the question that Gamma is the youngest of the three siblings.

Let the Gamma be x years old

Beta is twice as old as Gamma. So, Beta's age will be 2x years

Alpha is 2 years older than Beta. So, Alpha's age will be (2x + 2) years

Sum of their ages = 27 years (given)

According to the question.

x + 2x + 2x + 2 = 27

⇒ 5x + 2 = 27

⇒ 5x = 27 - 2

⇒ 5x = 25

⇒ x = 25/5

⇒ x = 5

So, Gamma's age is 5 years, Beta's age is 10 years and Alpha's age is 12 years

Answer.