The difference between the present ages of Arun and Ashok is 12 years. Seven years ago, the ratio of their ages was 6 : 8 respectively. What is the Ashok's present age?
বিকল্পসমূহ (নিজের উত্তর যাচাই করতে ক্লিক করুন):
সঠিক উত্তর
3 (55 years)
বিস্তারিত ব্যাখ্যা ও বিশ্লেষণ:
Problem: Seven years ago, Arun's age was 6x years and Ashok's age was 8x years. Their current age difference is 12 years. Find Ashok's present age.
Solution:
Let,
7 years ago:
Arun's age = 6x
Ashok's age = 8x
At present:
Arun = 6x + 7
Ashok = 8x + 7
Given that the current age difference is 12 years:
(8x + 7) − (6x + 7) = 12 ⇒ 8x + 7 − 6x − 7 = 12 ⇒ 2x = 12 ⇒ x = 12 ÷ 2 ⇒ x = 6
Therefore,
Ashok's present age = 8x + 7 = 8 × 6 + 7 = 55 years
