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The ratio of present ages of Nisha and Shilpa is 7:8 respectively. Four yrs hence this ratio becomes 9:10 respectively. What is Nisha's present age in yrs?
  • a)
    18
  • b)
    14
  • c)
    17
  • d)
    None of these
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
The ratio of present ages of Nisha and Shilpa is 7:8 respectively. Fou...
The ratio of present ages of Nisha and Shilpa is 7 : 8
Four yrs hence this ratio becomes 9 : 10
Present age of Nisha = 4 x (10 - 9)/9 x 8 - 10 x 7 x 7 = 14 years
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Most Upvoted Answer
The ratio of present ages of Nisha and Shilpa is 7:8 respectively. Fou...
Given:
The ratio of Nisha's age to Shilpa's age is 7:8.
The ratio of their ages 4 years from now is 9:10.

To find:
Nisha's present age.

Let's assume that Nisha's present age is 7x and Shilpa's present age is 8x.

Calculation:
Four years from now, Nisha's age will be 7x + 4 and Shilpa's age will be 8x + 4.
According to the given information, the ratio of their ages at that time will be 9:10.

So, we can write the equation as:
(7x + 4)/(8x + 4) = 9/10

Cross multiplying, we get:
10(7x + 4) = 9(8x + 4)
70x + 40 = 72x + 36
70x - 72x = 36 - 40
-2x = -4
x = -4/-2
x = 2

Now, we can find Nisha's present age:
Nisha's age = 7x = 7(2) = 14 years.

Therefore, Nisha's present age is 14 years (Option B).
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The ratio of present ages of Nisha and Shilpa is 7:8 respectively. Four yrs hence this ratio becomes 9:10 respectively. What is Nishas present age in yrs?a)18b)14c)17d)None of theseCorrect answer is option 'B'. Can you explain this answer?
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