Correct Answer - Option 4 : 30 years

Five years ago the ration of ages of Jam, Vihan and Mahesh = 3 : 4 : 5

Let;

Age of Jam five years ago = 3P

Present age of Jam = 3P + 5

Age of Vihan five years ago = 4P

Present age of Vihan = 4P + 5

Age of Mahesh five years ago = 5P

Present age of Mahesh = 5P + 5

**According to question;**

Total age of Jam, Vihan, and Mahesh at present = 75 years

**Jam + Vihan + Mahesh = 75 years**

(3P + 5) + (4P + 5) + (5P + 5) = 75

12P + 15 = 75

12P = 75 - 15 = 60

P = 5

So, the present age of Mahesh = 4P + 5

= 5 × 5 + 5

= 25 + 5

= 30 yaers

Hence, **"30 years"** is the correct answer.