Question
Download Solution PDFप्रत्येक 9 और 13 से कौन - सी सबसे छोटी धनात्मक संख्या घटाई जानी चाहिए। ताकि उनका तृतीयानुपाती 18 हो?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिया गया है:
18 तृतीयानुपाती है।
प्रयुक्त सूत्र:
1. यदि A : B :: C : D है, तो (B × C) = (A × D)
2. (a - b)2 = a2 - 2ab + b2
गणना:
माना सबसे छोटी धनात्मक संख्या Q है।
अनुपात (9 - Q) : (13 - Q) : : (13 - Q) : 18 है।
प्रश्नानुसार,
(13 - Q)2 = (9 - Q) × 18
⇒ 169 + Q2 - 26Q = 162 - 18Q
⇒ Q2 - 8Q + 7 = 0
⇒ (Q - 7)(Q - 1) = 0
इसलिए, सबसे छोटी संख्या = Q = 1
∴ सबसे छोटी संख्या 1 है।
Last updated on Jul 17, 2025
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