The average age of father, mother, son and daughter is 16 years. Father is 5 times as old as the son and mother is 6 times as old as the daughter. After 3 years from now, mother will be thrice as old as the son. What is the present age of the father?
Created: 28 Feb 2026 |
Updated: 28 Feb 2026
Updated: 28 Feb 2026
Explanation:
Given: The average age of father, mother, son and daughter is 16 years. Father is 5 times as old as the son and the mother is 6 times as old as the daughter. After 3 years from now, mother will be thrice as old as the son. Concept Used: Sum of ages = Average age × Number of members Calculation: Sum of the present age of father, mother, son and daughter is 16 × 4 = 64 years Let, the age of the son is x ⇒ The age of the father is 5x After 3 years age of the son will be (x + 3) ⇒ The age of the mother will be 3 × (x + 3) = (3x + 9) ⇒ The present age of the mother is (3x + 9) - 3 = (3x + 6) years Accordingly, The age of the mother is 6 times age of the daughter ⇒ The age of the daughter is (3x + 6)/6 years Accordingly, x + 5x + (3x + 6) + (3x +6)/6 = 64 ⇒ 6x + 30x + 18x + 36 + 3x + 6 = 64 × 6 ⇒ 57x = 342 ⇒ x = 6 Present age of the father is 5x = 5 × 6 = 30 years ∴ The present age of the father is 30 years.
বাংলা সাহিত্য ও ব্যাকরণ হলো বাংলা ভাষার দুটি অবিচ্ছেদ্য অঙ্গ। বাংলা সাহিত্য হলো বাংলা ভাষায় রচিত কবিতা, উপন্যাস, নাটক, গল্পসহ সৃজনশীল ও মননশীল রচনার সমষ্টি, যার সূচনা দশম শতাব্দীতে 'চর্যাপদ' এর মাধ্যমে। অন্যদিকে, বাংলা ব্যাকরণ হলো এমন একটি শাস্ত্র বা বিজ্ঞান, যা বাংলা ভাষার গঠন, প্রকৃতি, ধ্বনি, শব্দ ও বাক্যের নিয়ম-কানুন বিশ্লেষণ করে ভাষার শুদ্ধ রূপ ও প্রয়োগ শেখায়।
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