Question
Download Solution PDFযদি দুটি সংখ্যার অনুপাত 5 : 3 হয় এবং তাদের ল.সা.গু. ও গ.সা.গু.-এর গুণফল 135 হয়, তাহলে ল.সা.গু. ও গ.সা.গু.-এর পারস্পরিক যোগফল হল:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFপ্রদত্ত:
দুটি সংখ্যার অনুপাত = 5:3
ল.সা.গু. ও গ.সা.গু.-এর গুণফল = 135
ব্যবহৃত সূত্র:
ল.সা.গু. x গ.সা.গু. = সংখ্যাগুলির গুণফল
গণনা:
সংখ্যাগুলি = 5x এবং 3x
সংখ্যাগুলির গুণফল = 5x x 3x = 15x2
⇒ ল.সা.গু. x গ.সা.গু. = 15x2 = 135
⇒ x2 = 135/15
⇒ x2 = 9
⇒ x = 3
সংখ্যাগুলি = 5x = 15, এবং 3x = 9
15 এবং 9 এর ল.সা.গু. = 45
15 এবং 9 এর গ.সা.গু. = 3
ল.সা.গু. এবং গ.সা.গু.-এর পারস্পরিক যোগফল = (1/ল.সা.গু.) + (1/গ.সা.গু.)
⇒ যোগফল = (1/45) + (1/3)
⇒ যোগফল = 16/45
∴ সঠিক উত্তর হল বিকল্প (3)।
Last updated on Jul 17, 2025
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