Consider the Question and two Statements given below :
Question : What is the age of Manisha?
Statement-1 : Manisha is 24 years younger than her mother.
Statement-2 : 5 years later, the ages of Manisha and her mother will be in the ratio 3:5.
Which one of the following is correct in respect of the Question and the Statements?

Correct Option: Both Statement-1 and Statement-2 are sufficient to answer the Question

Let us evaluate the statements to find Manisha's age. Statement-1: Manisha is 24 years younger than her mother (M = M_mother - 24). Statement-2: 5 years later, the ages of Manisha and her mother will be in the ratio 3:5. Let Manisha's present age be x and her mother's age be y. From Statement-1: y - x = 24. From Statement-2: (x + 5) / (y + 5) = 3 / 5, which means 5(x + 5) = 3(y + 5) => 5x + 25 = 3y + 15 => 3y - 5x = 10. We now have a system of two linear equations in two variables: 1) y - x = 24 and 2) 3y - 5x = 10. Solving these: y = x + 24. Substitute into 2: 3(x + 24) - 5x = 10 => 3x + 72 - 5x = 10 => -2x = -62 => x = 31. Thus, Manisha's age can be uniquely determined using both statements together. Hence, option (c) is correct.