Question

Manisha's mothers is thrice the age of Manisha. After 4 years,
mother's age would be two and a half times that of Manisha.
Find their present ages.​

Answer 1

Answer:

Manisha age = 12 years

mother's age = 36 years

Step-by-step explanation:

let the age of Manisha be x

and mothers age will be 3x

after 4 year's Manisha age will be x + 4

after 4 year's mother's age will be 3x + 4

after 4 year's mother's age will be 2.5 time the age of Manisha

$3x + 4 = 2 \frac{1}{2} (x + 4) \\ 3x + 4 = \frac{5}{2} (x + 4) \\ 2(3x + 4) = 5(x + 4) \\ 6x + 8 = 5x + 20 \\ 6x - 5x = 20 - 8 \\ x = 12$

therefore Manisha age = x = 12 years

mother's age = 3x = 3 × 12 = 36 years

Hope you get your answer