Verified answer

Answer :

• Chandravati present age is 20 years.

Given :

• 10 years ago, Chandravati's mother was 4 times older than her daughter.
• After 10 years, the mother will be twice older than the daughter.

To Find :

• Present age of Chandravati ?

Solution :

• Let the present age be x, mother's age is 4x, age 10x year ago.

Here, we have

• Chandravati = x + 10
• Mother = 4x + 10

✧ According to the question :

➤ x + 10 + 10 = x + 20

➤ 4x + 10 + 10 = 4x + 20

After 10 years

➤ 4x + 20 = 2(x + 20)

➤ 4x + 20 = 2x + 40

➤ 2x = 20

➤ x = 20/2

• Multi cancellation

➤ x = 10

Therefore,

• Chandravati is x + 10 = 10 + 10 = 20 years.

Hence,

• Chandravati present age is 20 years.

It is given that,

10 years ago, Chandravati's mother was 4 times older than her daughter.

After 10 years, the mother will be twice older than the daughter.

We need to find the present age of Chandravati.

Solution :

Let the age of Chandravati be x and her mother's be 4x, 10 years ago.

Hence,

Present age of Chandravati = x + 10 years.

Present age of her mother = 4x + 10 years.

According to the question,

→ 2(x + 10 + 10) = 4x + 10 + 10

→ 2(x + 20) = 4x + 20

→ 2x + 40 = 4x + 20

→ 2x - 4x = 20 - 40

→ - 2x = - 20

→ x = 10 years

• Present age of Chandravati = x + 10 = 20 years.
• Present age of her mother = 4x + 10 = 50 years.

Hence, the correct option is option (3) 20 years.

Verification :

➤ 10 years before,

Age of Chandravati = 20 - 10 = 10 years.

Age of her mother = 50 - 10 = 40 years.

It satisfies the first condition that 10 years ago, Chandravati's mother was 4 times older than her daughter.

➤ 10 years after,

Age of Chandravati = 20 + 10 = 30 years.

Age of her mother = 50 + 10 = 60 years.

It satisfies the second condition that after 10 years, the mother will be twice older than the daughter.

Hence, verified! :)