a, b, c, d and e are five consecutive numbers in increasing order of size. Deleting one of the five numbers from the set decreased the sum of the remaining numbers in the set by 20% of the sum of all five numbers. Which one of numbers was deleted from a, b, c, d and e? (Number Theory (সংখ্যাতত্ত্ব))

Shohan

4 views

2025-01-04 04:42

1 Answers

Shohan

প্রশ্নে বলা হচ্ছে, a, b, c, d এবং e এই পাঁচটি উর্ধ্বক্রমে সাজানো ধারাবাহিক সংখ্যা যাদের মধ্যে একটি সংখ্যাকে বাতিল করলে সংখ্যাগুলোর যোগফল 20% হ্রাস পায়। কোন সংখ্যাটিকে বাতিল করা হয়েছে?

Since, numbers are consecutive

So, for the case of calculation,

Let, a = 1; b=2; c=3; d= 4; e=5

∴ Sum of this five numbers =1 + 2 + 3 + 4 + 5 = 15

After deleting one of the five numbers sum of the remaining number $= 80 % o f 15 = 15 \times \frac{80}{100} = 12$

∴ The sum decreased = 15-12=3. Which is equal to C.

∴ C was deleted from a, b, c, d & e.

ans: The number is C.

4 views Answered 2024-12-14 13:31

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