The average age of Ram and Shyam is 28 years. If Rahim replaces Ram, then the average age will become 26 years. If Rahim replaces Shyam, then the average age will become 30 years. What are the respective ages of Ram, Shyam and Rahim ?
Answer & explanation
Correct answer: option 1
Lets assume Ram's age is x years
As Avg. age of Ram & Shyam is 28 years
Shyam's age = 2 X 28 - x = 56-x
Average age of Ram & Rahim = 30 years
Rahim's Age = 60-x
Average age of Ram & Rahim = 28 years
⇒ 60 - x + 56 - x = 2 X 26
⇒ 2x = 64 ⇒ x = 32
∴ Ram's Age = 32
Shyam's age = 24
Rahim's age = 28