The sum of the ages of a father and his son is 45 years. Five years ago, the product of their ages was 4 times the father's age at that time. What are the present ages of the father and son?

Question: The sum of the ages of a father and his son is 45 years. Five years ago, the product of their ages was 4 times the father's age at that time. What are the present ages of the father and son? Solution:ধরি,বর্তমানে বাবার বয়স = x বছরবর্তমানে ছেলের বয়স = (45 - x) বছর5 বছর আগে,বাবার বয়স = x - 5ছেলের বয়স = (45 - x) - 5 = 40 - xপ্রশ্নমতে,(x - 5)(40 - x) = 4(x - 5)⇒ 40 - x = 4⇒ x = 40 - 4 = 36∴ বাবার বর্তমান বয়স = 36 বছরছেলের বর্তমান বয়স = 45 - 36 = 9 বছর