Q. The ages of Ravish and Shikha are in the ratio 3 : 8. Six years hence, their ages will be in the ratio 4 : 9. The present age of Ravish is
a) 18 year
b) 21 year
c) 15 year
d) 12 year
Correct Answer: a) 18 year
Question from UPPSC Prelims CSAT 2025
Explanation:
Let present ages be: Ravish = 3x, Shikha = 8x.
After 6 years, (3x + 6)/(8x + 6) = 4/9.
Cross-multiplying: 9(3x + 6) = 4(8x + 6) => 27x + 54 = 32x + 24 => 30 = 5x => x = 6.
Hence Ravish’s present age = 3x = 18 years. Check: After 6 years, ages are 24 and 54, ratio 24:54 = 4:9. Therefore, option 1.