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?

Statement-1: Manisha is 24 years younger than her mother, so only the age difference is known. This alone is not sufficient to find Manisha’s exact age.

Statement-2: After 5 years, their ages will be in the ratio 3:5. This gives only a proportional relation, so present ages cannot be uniquely determined. Not sufficient alone.

Using both statements: Let Manisha’s age be M and mother’s age be M + 24. After 5 years, ((M+5):(M+29) = 3:5). Solving: 5M + 25 = 3M + 87, so 2M = 62, hence M = 31. Therefore, both statements together are sufficient.

Correct option: (c)