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The sum of three numbers in AP is 24 and their product is 440 find the numbers |
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Answer» Step-by-step EXPLANATION: Let the three numbers in A.P. be a – d, a, and a + d. According to the given information, (a – d) + (a) + (a + d) = 24 … (1) ⇒ 3a = 24 ∴ a = 8 (a – d) a (a + d) = 440 … (2) ⇒ (8 – d) (8) (8 + d) = 440 ⇒ (8 – d) (8 + d) = 55 ⇒ 64 – d2 = 55 ⇒ d2 = 64 – 55 = 9 ⇒ d = ± 3 |
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