Question

Mrs. Jain is 27 years older than her daughter nilu. After 8 years she will be as old as nilu. Find their present ages​

Answer 1

Correct Question :–

Mrs. Jain is 27 years older than her daughter Nilu. After 8 years she will be twice as old as Nilu. Find their present ages.

Answer :–

• The present age of Nilu = 19 years.
• The present age of Mrs. Jain = 46 years.

Given :–

• Mrs. Jain is 27 years older than her daughter Nilu.
• After 8 years she will be as old as Nilu.

To Find :–

• Present ages of both Mrs. Jain and her daughter Nilu.

Solution :–

Let,

• The Nilu's present age be x.

Her mother is 27 years older than Nilu.

So,

• Her mother's present age be x + 27.

After 8 years,

• Nilu's age = x + 8.

• Her mother's age = x + 27 + 8 = x + 35

According to the question,

After 8 years she will be twice as old as Nilu.

So,

→ x + 35 = 2(x + 8)

Now, open the bracket.

→ x + 35 = 2x + 16

→ 35 – 16 = 2x – x

→ 19 = 1x

→ x = 19

Hence,

The present age of Nilu = 19 years.

The present age of her mother Mrs. Jain = x + 27 = 19 + 27 = 46 years.

Answer 2

Correct Question:

Mrs. Jain is 27 years older than her daughter nilu. After 8 years she will be twice as old as nilu. Find their present ages.

Step-by-step explanation:

Let the present age of Nilu be x years.

★Given that, Mrs. Jain is 27 years older than her daughter Nilu.

Then,

• Present age of Mrs. Jain = (x+27) years.

After 8 years,

• Age of Nilu = (x+8) years
• Age of Mrs. Jain = (x+27+8) = (x+35) years

According to the question,

2(x+8) = (x+35)

→ 2x+16 = x+35

→ 2x-x = 35-16

→ x = 19

Then,

★ Present age of Nilu = 19 years

★ Present age of Mrs. Jain = (19+27) = 46 years.

Therefore, the present age of Nilu is 19 years and Present age of Mrs. Jain is 46 years.