Q. 13

Meera’s mothe

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.
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.

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