Explanation:

It’s pretty evident that neither of the two statements is sufficient alone.
So, now let’s combine the two statements.
Let the present ages of Manisha and her mother be x and y respectively.
As per statement 1, y = x + 24
As per statement 2, (x + 5)/(y + 5) = 3/5
Or 5x + 25 = 3y + 15
Or 3y – 5x = 10
Or 3(x + 24) – 5x = 10
Or 3x + 72 – 5x = 10
Or 2x = 62
Or x = 31
So, Manisha is 31 years old at present. Both statements together are sufficient to answer the question.