Question
Download Solution PDFतीन संख्याओं का माध्य 15 है। इन आकड़ों के समुच्चय का परास 8 है जबकि दो सबसे न्यूनतम संख्याओं का अंतर 1 है। इन तीनों में सबसे बड़ी संख्या क्या है?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिया गया है:
तीन संख्याओं का माध्य 15 है।
इन आंकड़ों के समुच्चय का परास 8 है जबकि दो न्यूनतम संख्याओं का अंतर 1 है।
प्रयुक्त अवधारणा:
1. माध्य = प्रेक्षणों का योग ÷ प्रेक्षणों की संख्या
2. परास = उच्चतम प्रेक्षण - निम्नतम प्रेक्षण
गणना:
माना संख्याएँ P, Q और R (आरोही क्रम में) हैं।
प्रश्नानुसार,
R - P = 8
⇒ R = 8 + P ....(1)
Q - P = 1
⇒ Q = P + 1 ....(2)
(P + Q + R) = 15 × 3
⇒ P + (P + 1) + (8 + P) = 45 (समीकरण 1, और 2 से)
⇒ 3P + 9 = 45
⇒ P = 12
इसलिए, R = 8 + 12 = 20
∴ तीन संख्याओं में सबसे बड़ी संख्या 20 है।
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