Question

the age of Raman is three times as the age of his son .find their ages if sum of their ages is 60 years ​

Answer 1

Answer:

Raman's age=45yrs

Raman's son age=15 yrs

Step-by-step explanation:

let the age of raman's son be x

so raman's age will be 3x

ATQ,

Raman's age + Raman's son age= 60

so 3x + x= 60

4x=60

x=60/4

x=15

so raman's son age is 15 yrs

and raman's age = 3* 15

= 45yrs

Answer 2

Answer :

$\red\bigstar \: \: \pmb{Age \: \: of \: \: Raman \: \: = 45 \: years}$

$\red\bigstar \: \: \pmb{Age \: \: of \: \: Raman's \: \: son \: \: = 15 \: years}$

Given :

• Age of raman is three times as the age of his son
• The sum of their ages = 60

To find :

• Age of Raman and his son

Solution :

Let the present age of Raman's son be x and the age of Raman be 3x.

$\purple\bigstar \: \: \underline{ \pmb{according \: \: to \: \: the \: \: question}}$

⠀⠀⠀⇒ x + 3x = 60

⠀⠀⠀⇒ 4x = 60

⠀⠀⠀⇒ x = 60/4

⠀⠀⠀⇒ x = 15

The value of x = 15

Substitute the value of x in the ages of Raman and his son.

• Age of Raman = 3x = 3 × 15 = 45 years
• Age of his son = x = 15 years

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⠀⠀⠀⠀⠀⠀⠀Verification ::

To verify the ages of Raman and his son add their ages and it should be equal to 60 as mentioned in the question.

⠀⠀⠀⇒ 45 + 15

⠀⠀⠀⇒ 60

The sum of the ages of Raman and his son = 60

Hence, verified.