দুটি সংখ্যার যোগফল 288 এবং তাদের HCF হল 16। এই ধরনের সংখ্যার কত জোড়া তৈরি করা যাবে?

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  1. 3
  2. 5
  3. 2
  4. 4

Answer (Detailed Solution Below)

Option 1 : 3
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প্রদত্ত:

দুটি সংখ্যার যোগফল 288 এবং তাদের HCF হল 16

গণনা:

ধরা যাক সংখ্যার অনুপাত x : y 

সুতরাং সংখ্যাগুলি হবে 16x এবং 16y (HCF একটি সংখ্যার অবিচ্ছেদ্য অংশ)

প্রশ্ন অনুযায়ী

16x + 16y = 288

⇒ 16(x + y) = 288

⇒ x + y = 18

x, y এর জোড়া হতে পারে (1, 17) (5, 13) (7, 11)

তাই মাত্র 3 জোড়া হতে পারে।

∴ সঠিক উত্তর হল বিকল্প 1

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