Question
Download Solution PDFवह सबसे छोटी पूर्णांक संख्या ज्ञात कीजिए, जिसे अनुपात 5 : 6 के दोनों पदों में से घटाने पर 17 : 22 से कम अनुपात प्राप्त होता है।
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिया है:
प्रारंभिक अनुपात = 5 ∶ 6
अंतिम अनुपात 17 ∶ 22 से कम होना चाहिए
गणना:
मान लीजिए कि घटाने के लिए आवश्यक न्यूनतम पूर्ण संख्या a है।
प्रश्नानुसार,
(5 - a)/(6 - a) < 17/22
⇒ 5 × 22 - 22a < 17 × 6 - 17a
⇒ 110 - 22a < 102 - 17a
⇒ 110 - 102 < - 17a + 22a
⇒ 8 < 5a
⇒ 8/5 = 1.6 < a
∴ सबसे छोटी पूर्णांक संख्या 2 होनी चाहिए।
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