The ages of Moni and Roni are in the ratio 6 : 5 respectively. After 10 years, the ratio of their ages will be 8 : 7. What is the difference in their ages now?
বিকল্পসমূহ (নিজের উত্তর যাচাই করতে ক্লিক করুন):
সঠিক উত্তর
ক (5 years)
বিস্তারিত ব্যাখ্যা ও বিশ্লেষণ:
Problem:
The ratio of present ages of Moni and Roni is 6 : 5. After 10 years, the ratio becomes 8 : 7. Find the difference in their present ages.
Step-by-Step Solution:
Step 1: Let the present ages be:
Moni = 6x
Roni = 5x
Step 2: After 10 years:
Moni = 6x + 10
Roni = 5x + 10
Given ratio:
(6x + 10) / (5x + 10) = 8 / 7
Step 3: Cross multiplying:
7(6x + 10) = 8(5x + 10)
42x + 70 = 40x + 80
42x - 40x = 80 - 70
2x = 10 → x = 5
Step 4: Their current ages:
Moni = 6 × 5 = 30 years
Roni = 5 × 5 = 25 years
✅ Final Answer: Difference = 30 − 25 = 5 years
