Question

5 years ago the average if p, q an r was 25 years anf 7 yeas ago the average age of q and r was 20 years. What is p present age

Answer 1

1. Question⇒ 5 years ago the average if p, q an r was 25 years anf 7 yeas ago the average age of q and r was 20 years. What is p present age?

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