Question

Nisha is 15 years elder to Romi. If 5 years ago, Nisha was 3 times as old as Romi, then find Nisha’s present age.

Answer 1

Let age of Romi be y and age of Nisha be (y + 15).

Nisha's age 5 years ago = (y + 15 – 5).

Romi's age before 5 years = (y – 5)

5 years ago,Nisha is 3 times as old as Romi.

(y + 15 – 5) = 3 (y – 5)

(y + 10) = (3y – 15)

2y = 25 ⇒ y = 12.5

Romi's age = 12.5 years

Nisha's age = (y + 15) = (12.5 + 15) = 27.5 years.

Answer 2

Given - Age of Nisha = 15 years

5 years ago, Nisha was 3 times as old as Romi

Find - Present age of Nisha

Solution - Let the present age of Romi be y. So, present age of Nisha is = y + 15.

Five years ago, age of Romi = y - 5.

Five years ago, age of Nisha = (y + 15 - 5)

Moreover, five years ago Nisha was 3 times as old as Romi.

So, writing it in mathematical expression -

(y + 15 - 5) = 3(y - 5)

y + 10 = 3y - 15

3y - y = 10 + 15

2y = 25

y = 25/2

y = 12.5 years

So, age of Romi is 12.5 years

Age of Nisha = y + 15

Age of Nisha = 12.5 + 15

Age of Nisha = 27.5 years.

Therefore, age of Nisha is 27.5 years