Question

The respective ratio between the present age of Manisha and Deepali is 5 : X. Manisha is 9 years younger than Parineeta. Parineeta's age after 9 years will be 33 years. The difference between Deepali's and Manisha's age is same as the present age of Parineeta. What will come in place of X ?

• A. 23
• B. 39
• C. 15
• D. none of these

Answer 1

The Correct Option is D

To solve the problem, we first need to determine the present ages of Manisha and Deepali. Given data:

• The ratio of Manisha's age to Deepali's age is 5:X.
• Manisha is 9 years younger than Parineeta.
• Parineeta's age after 9 years will be 33 years, implying Parineeta's present age is 33 - 9 = 24 years.
• The age difference between Deepali and Manisha is the same as Parineeta's present age.

Steps to calculate:

1. Let Manisha's present age be 5k, and let Deepali's present age be Xk (from the ratio given).
2. The age difference between Deepali and Manisha is equal to Parineeta's present age: Xk - 5k = 24.
3. This equation becomes (X - 5)k = 24.
4. Also, since Manisha is 9 years younger than Parineeta, we have 5k = 24 - 9, which simplifies to 5k = 15.
5. Thus, k = 15/5 = 3.
6. Substituting k = 3 in (X - 5)k = 24 gives (X - 5)3 = 24, thus X - 5 = 8.
7. Solving for X, we get X = 8 + 5 = 13.

The value of X is therefore 13. Given the options, 13 is not an option, which means the correct answer is "none of these".