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

Answer:

Raman is presently 45 years old.

Step-by-step explanation:

Given :

Raman's age = Thrice the sum of his sons ages

After 5 years = Raman's age will be twice the sum of the ages of his two sons

To find :

Raman's present age

Solution :

Let the present ages be -

• Sum of the sons ages as x
• Raman's age as 3x

$\rule{300}{1.5}$

Ages after 5 years -

• Sons ages = (x + 5 + 5) [As there are 2 sons, both have their ages increased]
• Raman's age = (3x + 5)

$\rule{300}{1.5}$

According to the Question -

After 5 years = Raman's age will be twice the sum of the ages of his two sons

$\longrightarrow$ (3x + 5) = 2(x + 5 + 5)

$\longrightarrow$ 3x + 5 = 2x + 10 + 10

$\longrightarrow$ 3x - 2x = 20 - 5

$\longrightarrow$ x = 15

$\rule{300}{1.5}$

★ Value of 3x

$\longrightarrow$ 3(15)

$\longrightarrow$ 45

$\therefore$ Raman is presently 45 years old.

Answer 2

Answer:

Step-by-step explanation:

Given :-

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.

To Find :-

The Age of Raman.

Solution :-

Let x be the sum of  age of his sons

Ramans age = 3x

After 5 years,

Sum of sons age = x + 10

Raman's age = 3x + 5

⇒ 3x + 5 = 2( x + 10)

⇒ 3x - 2x = 20 - 5

⇒ x = 15

Raman's age = 3x = 3 x 15 = 45 years