তিনটি ক্রমিক বিজোড় সংখ্যার প্রথমটির 1/3 অংশ যদি তৃতীয় সংখ্যার 1/5 অংশের চেয়ে 2 বেশি হয় তবে দ্বিতীয় সংখ্যাটি কত?

  1. 21
  2. 23
  3. 25
  4. 19

Answer (Detailed Solution Below)

Option 2 : 23
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Detailed Solution

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Given:

তিনটি ক্রমিক বিজোড় সংখ্যার প্রথমটির 1/3 অংশ যদি তৃতীয় সংখ্যার 1/5 অংশের চেয়ে 2 বেশি।

Calculation:

ধরি, তিনটি ক্রমিক বিজোড় সংখ্যা যথাক্রমে x, x + 2 এবং x + 4, অতএব 

প্রশ্ন অনুযায়ী

x × (1/3) = (x + 4) × (1/5) + 2

⇒ x/3 = (x + 4 + 10)/5

⇒ 5x = 3x + 42

⇒ 5x – 3x = 42

⇒ 2x = 42

⇒ x = 21

∴ দ্বিতীয় বিজোড় সংখ্যা= x + 2 = 21 + 2 = 23 

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