Question

Chetan is 10 years older tan Isha. 5 years ago, Chetan was twice as old as Isha. chetan is how many years old now​

Answer 1

Answer:

→ Chetan's age is 25 years.

→ Ishas age is 15 years

Step-by-step explanation:

Given that,

Chetan is 10 years older than Isha.

5 years ago Chetan was 2× age of Isha.

If we assume Isha's age as x years.

Then, Chetan's age will be (x + 10) years.

Five years ago both of their age can be :

→ Chetan's age = (x + 10 - 5) or, (x + 5) years.

→ Isha's age = (x - 5) years.

Here, Chetan's age is twice than the age of Isha.

We can say that,

Chetan's age is equal to 2× Isha's age

Or,

⇒ (x + 5) = 2(x - 5)

Solving for x :

⇒ x + 5 = 2x - 10

⇒ 10 + 5 = 2x - x

⇒ 15 = x

Or, x = 15 years.

Therefore, Isha's age is :

→ 15 years.

And also, Chetan's age will be :

→ (x + 10) = 25 years.

✦ Verification :

In the given question it is told that, 5 years ago Chetan was twice the age of Isha

Again,

5 years ago their age :

→ Chetan = 25 - 5 = 20 years.

→ Isha = 15 - 5 = 10 years.

As a result Chetan is 20 years old which is twice the age of Isha i.e., 10 years.

Hence, verified ☑

Answer 2

Answer :-

• Age of Chetan = 25 years.

Explanation :-

Given : Chetan is 10 years older then Isha. Before 5 years, Chetan was twice as old as Isha.

To Find : Age of Chetan.

Solution :

Let,

• Age of Chetan be x.
• Age of Isha be x + 10.

5 Years ago,

• Age of Chetan = x - 5.
• Age of Isha = x + 10 - 5 = x + 5.

★ According to the Question,

➙ x + 5 = 2(x - 5).

➙ x + 5 = 2x - 10.

➙ x - 2x = -10 - 5.

➙ -x = -15.

➙ x = 15.

Therefore,

• Age of Isha = x = 15 years.
• Age of Chetan = x + 5 = 25 years.