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The ratio of Rohan’s age 4 years ago and Rahul’s age after 4 years is 1:1. If at present, the ratio of their ages is 5 : 3, then find the ratio between Rohan’s age 4 years hence and Rahul’s age 4 years ago.

A. 

4 : 3

B. 

1 : 3

C. 

3 : 4

D. 

3 : 1

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Answer with explanation

Answer: Option D

Explanation

 If ages in the numerical are mentioned in ratio A : B, then A : B will be Ax and Bx

1. At present: Ratio of their ages = 5 : 3. Therefore, 5 : 3 will be 5x and 3x.

=====>>>> Rohan’s age 4 years ago = 5x – 4
=====>>>> Rahul’s age after 4 years = 3x + 4

2. Ratio of Rohan’s age 4 years ago and Rahul’s age after 4 years is 1 : 1
Therefore,

Solving, we get x = 4

3. We are asked to find the ratio between Rohan’s age 4 years hence and Rahul’s age 4 years ago.
Rohan’s age : (5x + 4)
Rahul’s age: (3x – 4)
Ratio of Rahul’s age and Rohan’s age

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