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The greatest number, which when subtracted from 5834, gives a number exactly divisible by each of 20, 28, 32 and 35 is ?

Asked Sep 07, 2023 Modified Sep 07, 2023 Viewed 0 times

Mathematics

asked Sep 07, 2023 at 09:12

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LCM of (20, 28, 32, 35) 4 × 5 × 7 × 8 = 1120 LCM = (20, 28, 32, 35) = 1120 ∴ 1120 divided by 20, 28, 32, 35 completely ∴ Let x be subtracted from 5834 ∴ 5834 - x = 1120 ⇒ x = 5834 - 1120 = 4714

answered Sep 07, 2023 at 09:12

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The greatest number, which when subtracted from 5834, gives a number exactly divisible by each of 20, 28, 32 and 35 is ?

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