1.

The sum of three numbers in AP is 24 and their product is 440 find the numbers​

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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