X is subtracted from each of 21, 22, 60 and 64, then all number will be in proportionAccording to the question(21 – x) / (22 – x) = (60 – x) / (64 – x)By Dividendo and Componendo⇒ (21 – x + 22 – x) / (21 – x – 22 + x) = (60 – x + 64 – x) / (60 – x – 64 + x)⇒ (43 – 2X) / (-1) = (124 – 2x) / (-4)⇒ 172 – 8x = 124 – 2x⇒ 6x = 48⇒ x = 8∴ Required mean proportional = √[(8 + 1) (7 × 8 + 8)] = √(9 × 64) = 24

"> X is subtracted from each of 21, 22, 60 and 64, then all number will be in proportionAccording to the question(21 – x) / (22 – x) = (60 – x) / (64 – x)By Dividendo and Componendo⇒ (21 – x + 22 – x) / (21 – x – 22 + x) = (60 – x + 64 – x) / (60 – x – 64 + x)⇒ (43 – 2X) / (-1) = (124 – 2x) / (-4)⇒ 172 – 8x = 124 – 2x⇒ 6x = 48⇒ x = 8∴ Required mean proportional = √[(8 + 1) (7 × 8 + 8)] = √(9 × 64) = 24

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When x is subtracted from each of 21, 22, 60 and 64, the numbers so obtained, in this order, are in proportion. What is the mean proportional between (x + 1) and (7x + 8)?

Current Affairs General Awareness in Current Affairs 10 months ago

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Calculation:If X is subtracted from each of 21, 22, 60 and 64, then all number will be in proportionAccording to the question(21 – x) / (22 – x) = (60 – x) / (64 – x)By Dividendo and Componendo⇒ (21 – x + 22 – x) / (21 – x – 22 + x) = (60 – x + 64 – x) / (60 – x – 64 + x)⇒ (43 – 2X) / (-1) = (124 – 2x) / (-4)⇒ 172 – 8x = 124 – 2x⇒ 6x = 48⇒ x = 8∴ Required mean proportional = √[(8 + 1) (7 × 8 + 8)] = √(9 × 64) = 24

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Posted on 31 Oct 2024, this text provides information on Current Affairs related to General Awareness in Current Affairs. Please note that while accuracy is prioritized, the data presented might not be entirely correct or up-to-date. This information is offered for general knowledge and informational purposes only, and should not be considered as a substitute for professional advice.

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