# The total of the ages of Jame, Vihan and Mahesh is 75 years. Five years ago the ratio of their ages was 3 : 4 : 5. What is the present age of Mahesh?

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The total of the ages of Jame, Vihan and Mahesh is 75 years. Five years ago the ratio of their ages was 3 : 4 : 5. What is the present age of Mahesh?
1. 40 years
2. 34 years
3. 27 years
4. 30 years

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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.