Question
Download Solution PDFआठ क्रमागत विषम संख्याओं का औसत 48 है। पाँचवीं और सातवीं संख्याओं का योगफल ज्ञात कीजिए।
Answer (Detailed Solution Below)
Detailed Solution
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आठ क्रमागत विषम संख्याओं का औसत 48 है।
प्रयुक्त अवधारणा:
औसत = तत्वों का योग/तत्वों की संख्या
गणना:
माना आठ क्रमागत विषम संख्याएँ x, (x + 2), (x + 4), (x + 6), (x + 8), (x + 10), (x + 12), (x + 14) हैं।
आठ क्रमागत विषम संख्याओं का औसत = 48
⇒ {x + (x + 2) + (x + 4) + (x + 6) + (x + 8) + (x + 10) + (x + 12) + (x + 14)}/8 = 48
⇒ (8x + 56) = 384
⇒ 8x = 328
⇒ x = 41
इसलिए, पाँचवीं संख्या = 41 + 8 = 49
सातवीं संख्या = 41 + 12 = 53
कुल = 49 + 53
⇒ 102
∴ अभीष्ट उत्तर 102 है।
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