Vikram is twice as old as his brother Ajay. 5 years ago, Vikram was 3 times as old as Ajay. How old is Vikram now?
Show answer & explanation
Correct answer: A
Explanation
Let Ajay's present age be x years.
According to the question, Vikram's present age = 2x years.
5 years ago:
• Ajay's age = (x − 5) years
• Vikram's age = (2x − 5) years
Given condition:
2x − 5 = 3(x − 5)
⇒ 2x − 5 = 3x − 15
⇒ 3x − 2x = 15 − 5
⇒ x = 10
Therefore, Vikram's present age = 2x = 2 × 10 = 20 years.
Hence, the correct option is (A).