Answer :

Let present age of Meera be x years.

Then the present age of Meera's mother = 4x years.

Meera's age after five years = (x + 5) years.

Meera's mother age after five years = (4x + 5) years.

By the given condition, we have:

4x + 5 = 3(x + 5)

4x + 5 = 3x + 15

4x - 3x = 15 - 5(Transposing 3x and 5)

x = 10

Thus, age of Meera = 10 years and that of Meera's mother = 4 x 10 = 40 years.

Then the present age of Meera's mother = 4x years.

Meera's age after five years = (x + 5) years.

Meera's mother age after five years = (4x + 5) years.

By the given condition, we have:

4x + 5 = 3(x + 5)

4x + 5 = 3x + 15

4x - 3x = 15 - 5(Transposing 3x and 5)

x = 10

Thus, age of Meera = 10 years and that of Meera's mother = 4 x 10 = 40 years.

**Check:**

(1) Meera's age after five years = 10 + 5 = 15 years.

Meera's mother age after five years = 4 (10) + 5 = 40 + 5 = 45 years.

Therefore, Meera's mother age after five years is three times Meera's age after five years. Let present age of Meera be x years.

Then the present age of Meera's mother = 4x years.

Meera's age after five years = (x + 5) years.

Meera's mother age after five years = (4x + 5) years.

By the given condition, we have:

4x + 5 = 3(x + 5)

4x + 5 = 3x + 15

4x - 3x = 15 - 5(Transposing 3x and 5)

x = 10

Thus, age of Meera = 10 years and that of Meera's mother = 4 x 10 = 40 years.

(1) Meera's age after five years = 10 + 5 = 15 years.

Meera's mother age after five years = 4 (10) + 5 = 40 + 5 = 45 years.

Therefore, Meera's mother age after five years is three times Meera's age after five years. Let present age of Meera be x years.

Then the present age of Meera's mother = 4x years.

Meera's age after five years = (x + 5) years.

Meera's mother age after five years = (4x + 5) years.

By the given condition, we have:

4x + 5 = 3(x + 5)

4x + 5 = 3x + 15

4x - 3x = 15 - 5(Transposing 3x and 5)

x = 10

Thus, age of Meera = 10 years and that of Meera's mother = 4 x 10 = 40 years.

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