# Ramesh, Aadil and John are three senior citizens. 20 years ago, the average age of Ramesh and Aadil was 40 years. The present age of Ramesh, Aadil and

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Ramesh, Aadil and John are three senior citizens. 20 years ago, the average age of Ramesh and Aadil was 40 years. The present age of Ramesh, Aadil and John is 60 years. How old John will be after 7 years?
1. 63 years
2. 64 years
3. 67 years
4. 65 years

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Correct Answer - Option 3 : 67 years

Given

20 years ago, the average age of Ramesh and Aadil was 40 years.

The present age of Ramesh, Aadil and John is 60 years.

Formula Used

Concept of average, Average = Sum of observations/ Number of Observations

Calculation

Let the present age of Ramesh, Aadil and john be a, b and c years respectively.

20 years ago, Ramesh age = (a – 20) years

Aadil age = (b – 20) years

According to question,

[(a – 20) + (b – 20)]/2 = 40

⇒ a + b – 40 = 80

⇒ a + b = 120      ----(1)

Now, Average of present ages of Ramesh, Aadil and John = 60

So, (a + b + c)/3 = 60

⇒ (a + b + c) = 180       ----(2)

Put the value of a + b = 120 from eq (1) in eq. (2), we get

120 + c = 180

⇒ c = 180 – 120 = 60

John’s present age = c = 60 years

After 7 years,

John age = 60 + 7 = 67 years

Hence, the age of John after 7 years is 67 years.