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?

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 Answer Both Statement-1 and Statement-2 are sufficient to answer the Question

Calculation:

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.

Let the age of mother be m and manisha be n

m = n + 24

(m + 5)/(n + 5) = 5/3

(n + 24 + 5)/(n + 5) = 5/3

(n + 29) × 3 = (n + 5) × 5

3 n + 87 = 5 n + 25

2 n = 62

n = 31

So, both the statements 1 and 2 are required to answer the question.

Hence, option 3 is correct.

 

Related Questions

Each question below is followed by two statements I and II. You have to determine whether the data given in the statements are sufficient for answering the question. You should use the data and your knowledge of Mathematics to choose the best possible answer. 11 Aman is how many years younger than Jadhav? I. Six years back Lokesh was as old as Aman is now. The ratio of age of Lokesh three ago and age of Jadhav 2 years ago was 7 ∶ 11. II. Jadhav is 3 years younger than Ranjit. The ratio of the age of Lokesh 2 years ago and the present age of Ranjit is 3 ∶ 5.