Meera’s mother is four times as old as Meera.After five years,her mother will be three times as old as she will be then.What are their present ages?

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.