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The ratio of the age of Sita and her mother is 2:3. N years from now, ratio of their ages will become 3:5. What is the value of N?
  • a)
    Infinite
  • b)
    1
  • c)
    More than 1 but finite
  • d)
    Not possible
Correct answer is option 'D'. Can you explain this answer?
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The ratio of the age of Sita and her mother is 2:3. N years from now, ...
Given information:
The ratio of the age of Sita and her mother is 2:3.
N years from now, the ratio of their ages will become 3:5.

To find:
The value of N.

Solution:

Let's assume the current ages of Sita and her mother to be 2x and 3x respectively (since the ratio of their ages is given as 2:3).

After N years, the age of Sita will be 2x + N and the age of her mother will be 3x + N.

According to the given condition, the ratio of their ages after N years will be 3:5.

Therefore, we can write the equation as:

(2x + N) / (3x + N) = 3/5

Cross-multiplying, we get:

5(2x + N) = 3(3x + N)

10x + 5N = 9x + 3N

(10x - 9x) = (3N - 5N)

x = -2N

Since x represents the age, it cannot be negative. Hence, the equation does not have a valid solution.

Therefore, it is not possible to determine the value of N that satisfies both conditions.

Answer:
The value of N is not possible.
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The ratio of the age of Sita and her mother is 2:3. N years from now, ratio of their ages will become 3:5. What is the value of N?a)Infiniteb)1c)More than 1 but finited)Not possibleCorrect answer is option 'D'. Can you explain this answer?
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