The ages of Nishi and Rimi are in the ratio 6 : 5 respectively. After 9 years, the ratio of their ages will be 9 : 8. What is the difference in their ages now ?
বিকল্পসমূহ (নিজের উত্তর যাচাই করতে ক্লিক করুন):
সঠিক উত্তর
ক (3 years)
বিস্তারিত ব্যাখ্যা ও বিশ্লেষণ:
Solution:
Let, Nishi’s age be 6x years.
Then, Rimi’s age = 5x years.
Now
∴ (6x + 9)/(5x + 9) = 9/8
⇒ 8(6x + 9) = 9(5x + 9)
⇒ 48x - 45x = 81 - 72
⇒ 3x = 9
⇒ x = 3
∴ Difference in their ages = (6x - 5x) years
= x years
= 3 years.