Question
Download Solution PDFদুটি সংখ্যার ল.সা.গু. 120 এবং সংখ্যা দুটির অনুপাত 3 ∶ 8 । সংখ্যা দুটির যোগফল কত হবে?
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Detailed Solution
Download Solution PDFপ্রদত্ত:
দুটি সংখ্যার ল.সা.গু. 120 এবং সংখ্যা দুটির অনুপাত 3 ∶ 8।
ব্যবহৃত ধারণা:
1. গ.সা.গু. হলো দুই বা ততোধিক সংখ্যার গরিষ্ঠ সাধারণ গুণনীয়ক।
2. ল.সা.গু. হলো দুই বা ততোধিক সংখ্যার লঘিষ্ঠ সাধারণ গুণিতক।
গণনা:
ধরা যাক, সংখ্যা দুটি হল 3x এবং 8x।
সংখ্যা দুটির যোগফল = 3x + 8x = 11x
প্রশ্নানুসারে,
ল.সা.গু (3x, 8x) = 120
⇒ 24x = 120
⇒ x = 120/24
⇒ x = 5
⇒ 11x = 55
∴ সংখ্যা দুটির যোগফল 55 হবে।
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