Raman’s age is three times the sum of the ages of his two sons. Afte

1.	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» 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.

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»

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.