Question
Download Solution PDFसात सलग सम संख्यांची सरासरी 36 आहे. सर्वोच्च आणि सर्वात कमी संख्यांमध्ये काय फरक आहे?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिलेले आहे:
सलग 7 सम संख्येची सरासरी 36 आहे.
वापरलेली संकल्पना:
सरासरी = संख्येची बेरीज / एकूण संख्या
गणना:
7 सलग सम संख्या x, x + 2, x + 4, x + 6, x + 8, x + 10, x + 12 असू द्या
⇒ 7 सलग सम संख्यांची बेरीज = 36 × 7 = 252
⇒ x + x + 2 + x + 4 + x + 6 + x + 8 + x + 10 + x + 12 = 252
⇒ 7x + 42 = 252
⇒ 7(x + 6) = 252
⇒ x + 6 = 36
⇒ x = 30
∴ सर्वात कमी संख्या x = 30
आणि सर्वोच्च संख्या x + 12 = 42
∴ सर्वोच्च आणि सर्वात कमी संख्येमधील फरक = 42 - 30 = 12.
Last updated on Jul 12, 2025
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