Mira is 30 times older than her son. 18 years later she will be thrice as old as her son. What is Mira's present age?
বিকল্পসমূহ (নিজের উত্তর যাচাই করতে ক্লিক করুন):
সঠিক উত্তর
1 (40)
বিস্তারিত ব্যাখ্যা ও বিশ্লেষণ:
Solution:
Let the present age of Mira be x years.
So, her son's present age is x/30 years.
In 18 years:
- Mira's age will be: x + 18
- Her son's age will be: (x/30) + 18
According to the question:
x + 18 = 3 × ((x/30) + 18)
⇒ x + 18 = (3x/30) + 54
⇒ x + 18 = x/10 + 54
Multiplying both sides by 10 to eliminate the fraction:
⇒ 10x + 180 = x + 540
Now, solving for x:
⇒ 10x - x = 540 - 180
⇒ 9x = 360
⇒ x = 360/9
⇒ x = 40
Conclusion: The present age of Mira is 40 years.
