Question

Raman’s age is three times the sum of the ages of his two sons. After 5 years his age will be twice the sum of the ages of his two sons. Find the age of Raman.

Answer 1

Let Raman’s age = x 

Let the sum of his two sons age = y 

Now x = 3y ⇒ x – 3y = 0 … (1) 

After 5 years, 

Step (1) 

x + 5 = 2(y + 10) 

x + 5 = 2y + 20 

x – 2y = 20 – 5 

x – 2y = 15 

Step (2) 

From equation (1) x = 3y 

Step (3) 

Substitute x = 3y in (2) 

3y – 2y = 15

y = 15 

Step (4) 

Substitute y = 15 in (1) 

x = 3y = 3 x 15 

x = 45 

∴ Raman’s age is 45 years.