Question
Download Solution PDF4, 8, 12, 22 এই চারটি সংখ্যার প্রতিটিতে নীচের কোনটি যোগ করলে সেগুলি সমানুপাতিক হবে?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFপ্রদত্ত:
চারটি সংখ্যা 4, 8, 12, 22
ব্যবহৃত ধারণা:
w/x = y/z
অনুসৃত গণনা:
ধরি, এই সংখ্যাগুলির প্রতিটিতে x যোগ করা হবে, তাই নতুন সংখ্যা হবে
প্রথম সংখ্যা = 4 + x
দ্বিতীয় সংখ্যা = 8 + x
তৃতীয় সংখ্যা = 12 + x
চতুর্থ সংখ্যা = 22 + x
অনুপাতে বসিয়ে পাই,
⇒ (4 + x)/(8 + x) = (12 + x)/(22 + x)
উপরের সমীকরণটি সমাধান করে পাই,
⇒ (4 + x)(22 + x) = (12 + x)(8 + x)
⇒ 88 + 26x + x2 = 96 + 20x + x2
⇒ 6x = 8
⇒ x = 4/3
∴ x = 4/3
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