Question

Chetan is 10 years older than Isha. 5 years ago, Chetan was twice as old as Isha. Chetan is how many years old now?
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Answer 1

Given:

• Chetan is 10 years older than Isha.
• 5 years ago, Chetan was twice as old as Isha.

To Find:

• Chetan's present age.

Solution:

Let the age of Isha be x.

We know that 5 years ago, Chetan was twice as old as Isha which means Chetan is 2 times as old as Isha. If Isha is x then Chetan will be 2 × x = 2x.

Five years ago means we will substract five from their ages.

Five years ago,

2 ( x - 5 ) = x - 5

Now multiply 2 by both x and 5.

2 × x = 2x

2 × 5 = 10

➨ 2x - 10 = x - 5

➨ 2x - x = - 5 + 10

➨ x = 5

As we let the age of Isha 'x'

Value of x = 5

∴ Age of Isha = 5 years

• Now, we know Chetan is 10 years older than Isha at present.

Age of Chetan = x + 10

Age of Chetan = 5 + 10

Age of Chetan = 15 years

∴ Age of Chetan = 15 years

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Answer 2

Answer:

Given :-

• Chetan is 10 years older than Isha. 5 years ago, Chetan was twice as old as Isha.

To Find :-

• What is the age of Chetan.

Solution :-

Let, the age of Isha be x

And, the age of Chetan will be x + 10

After 5 years,

Age of Isha will be x - 5

And, the age of Chetan will be 2(x - 5)

According to the question,

⇒ 2(x - 5) = x - 5

⇒ 2x- 10 = x - 5

⇒ 2x - x = - 5 + 10

➠ x = 5

Hence, the required ages are,

✧ Age of Isha = x = 5 years

✧ Age of Chetan = x + 10 = 5 + 10 = 15 years

∴ The age of Chetan is 15 years .

Let's Verify :-

↦ 2(x - 5) = x - 5

Put x = 5 we get,

↦ 2(5 - 5) = 5 - 5

↦ 10 - 10 = 5 - 5

↦ 0 = 0

➦ LHS = RHS

Hence, Verified ✔