Correct Answer - Option 3 : 30 years
Given
The sum of the present ages of Ajay. Vijay and Sanjay = 75 years
5 years ago, the respective ratio of their ages was 3 : 4 : 5,
Calculation
According to question ,
5 years ago the respective ratio of Ajay Vijay & Sanjay = 3 : 4 : 5
Then their ages were 3x, 4x and 5x respectively
The sum of the present ages of Ajay. Vijay and Sanjay = (3x+5) + (4x + 5) + (5x + 5)
Accordingly,
(3x+5) + (4x + 5) + (5x + 5) = 75
⇒ 3x + 5 + 4x + 5 + 5x + 5 = 75
⇒3x + 4x + 5x + 5 + 5 + 5 = 75
⇒12x = 75 - 15
⇒ x = 60/12
⇒ x = 5
The present age of Sanjay = (5x + 5) = 30 years
∴ The present age of Sanjay is 30 years.
