Question

Five years ago, the average age of p, q and r was 25 years and seven years ago, the average age of q and r was 20 years. The present age of p is

Answer 1

Answer:

The present age of p is 36 years.

Step-by-step explanation:

Let the present ages of p, q and r be x, y and z respectively.

So, ages of p, q and r five years ago will be (x-5), (y-5) and (z-5) respectively.

According to given condition,

[(x-5)+(y-5)+(z-5)]/3 = 25 years

x + y + z - 15 = 75

x + y + z = 90 ..........(1)

Now,  ages of q and r seven years ago will be (y-7) and (z-7) respectively.

According to given condition,

[(y-7)+(z-7)]/2 = 20 years

y + z - 14 = 40

y + z = 54 ..........(2)

From equation (1) and (2) we get,

x + 54 = 90

x = 36