Six years ago, the ratio of ages of Raman and Karan was 14 : 15. If the ratio of their present ages is 17 : 18, find the ratio of ages of Raman and Karan after 9 years from now.
Show answer & explanation
Correct answer: B
Explanation
The correct answer is Option 2 i.e. 43 : 45.
Current ratio of ages = 17 : 18 or (17x and 18x)
Ratio of ages of Raman and Karan six years ago = 14 : 15 or (14x and 15x)
Comparing the value of ratios as the common difference is same,
⇒ 17x - 14x = 6 years or 18x - 15x = 6 years
⇒ 3x = 6 years
⇒ 1/2x = 1 year
Now their ages after 9 years = (17x + 9 × 1/2x) and (18x + 9 × 1/2x)
Raman's age after 9 years = 21.5x
Karan's age after 9 years = 22.5x
Ratio of ages of Raman and Karan after 9 years from now = 21.5 : 22.5 = 43 : 45