1.

if the sum of three numbers in an ap is 9 and their product is 24 then numbers are

Answer»

Let three numbers be a - d, a, a + d

∴ a - d +a + a + d = 9

⇒ 3a = 9

⇒ a = 3

Also

(a - d) × a × (a + d) = 24

⇒ (3 - d) × 3(3 + d) = 24

⇒ 9 - d2 = 8

⇒ d2 = 9 - 8 = 1

∴ d = ± 1

Hence numbers are 2, 3, 4 or 4, 3, 2



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