The ratio of present ages of P and Q is 3 : 4. Four years hence, this ratio would become 4 : 5. Find the present age of Q.
বিকল্পসমূহ (নিজের উত্তর যাচাই করতে ক্লিক করুন):
সঠিক উত্তর
2 (16 years)
বিস্তারিত ব্যাখ্যা ও বিশ্লেষণ:
Problem:
The ratio of present ages of P and Q is 3 : 4. Four years hence, this ratio would become 4 : 5. Find the present age of Q.
Step-by-Step Solution:
Let P's present age = 3x and Q's present age = 4x.
After 4 years, their ages will be:
P = 3x + 4
Q = 4x + 4
According to the problem, the new ratio is:
(3x + 4) / (4x + 4) = 4 / 5
Cross-multiplying gives:
5(3x + 4) = 4(4x + 4)
15x + 20 = 16x + 16
Simplifying:
15x - 16x = 16 - 20
-x = -4 → x = 4
Therefore, Q's present age = 4x = 4 × 4 = 16 years.
✅ Final Answer: Q is 16 years old.
