If the sum of three numbers in A.P. is 24 and their product is 440, then common difference of theA.P. can be

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answer is A.

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Detailed Solution

Let the three number in A.P. be a–d, a, a+d.Then 24=(a−d)+a+(a+d)=3a⇒ a=8Also, 440 = (a – d) a(a + d) = 8(64 – d2 )⇒ d2=64−55=9⇒d=±3. ∴ d can be 3.

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