Question

Age of rohit is 5 more than twice of pradeep age. 6 years ago age of pradeep was 1/3 of rohit age.find their ages.​

Answer 1

Pradeep's age = 17 years

Rohit's age = 39 years

Step-by-step explanation:

Given -

• Age of Rohit is 5 more than twice of Pradeep's age.
• 6 years ago age of Pradeep was 1/3 of rohit's age.

To find -

• Their current ages.

Solution -

present time,

Pradeep's age = 'x' years

Rohit's age = (2x + 5) years (1)

6 years ago,

Pradeep's age = (x - 6) years

Rohit's age = (2x + 5 - 6) years

= (2x - 1) years

Now , according to the second statement ,

3(x - 6) = 2x - 1

→ 3x - 18 = 2x - 1

→ 3x - 2x = - 1 + 18

→ x = 17 years (putting in 1)

→ Rohit's age = (2 × 17 + 5) years

→ Rohit's age = (34 + 5) years

→ Rohit's age = 39 years

Therefore , Pradeep's age is 17 years and Rohit's age is 39 years .