The age or Khushi and Jagriti are in the ratio of 5 : 8 respectively. After 8 years the ratio of their age will be 3 : 4. What is the difference in their age?
The age or Khushi and Jagriti are in the ratio of 5 : 8 respectively. After 8 years the ratio of their age will be 3 : 4. What is the difference in their age?
A16 years
B8 years
C10 years
DNone of these
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Correct answer is: None of these
Explanation:
Let the present age of Khushi and Jagriti be 5x and 8x years respectively.
After 8 years,\(\frac{5x+8}{8x+8}=\frac{3}{4}\)
=> 24x + 24 = 20x + 32
=> 4x = 32 - 24 = 8=> x = 8×4 = 2
Requtred difference = (8x - 5x) years = 3x
= 3×2
= 6 years
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