Question

Rohan's father is 5 yrs older than twice the Rohan's age. his mother's age us sum of his age and one third of his father's age his sister is 2 years younger to him. sum of their ages is 118 yrs. answer the following-
1. what is age if rohan? ( in yrs)
2. what is the age of Rohan's sister?(in yrs)
3. what is age of Rohan's mother?
4. what is age of Rohan's father?​

Answer 1

Step-by-step explanation:

Let Rohan's age be = x years

Then , according to the question ,

Rohan's father age = 2x + 5 years

Rohan's mother age = x + 1/3 ( 2x + 5 ) years

Rohan's sister age = x - 2 years.

Now , sum of their ages = 118

x + 2x + 5 + x + 1/3 (2x + 5) + x - 2 = 118

5x + 1/3 ( 2x + 5 ) = 115

5x + 2x/3 + 5/3 = 115

( 15x + 2x + 5 )/3 = 115

17x + 5 = 345

17x = 340

x = 20

Therefore,

Rohan's age = x = 20 years

Rohan's father age = 2x + 5 = 45 years

Rohan's mother age = x + 1/3 ( 2x + 5 ) = 35 years

Rohan's sister age = x - 2 = 18 years

I hope it helps you . If you have any doubts, then do not hesitate to ask.