Mathematics

Divide 216 into three parts which are in A.P. and the product of two smaller parts is 5040.

AP

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Answer

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

Sum = 216

⇒ a - d + a + a + d = 216

⇒ 3a = 216

⇒ a = 72.

According to question,

⇒ (a - d)(a) = 5040

⇒ (72 - d)72 = 5040

⇒ 5184 - 72d = 5040

⇒ 72d = 5184 - 5040

⇒ 72d = 144

⇒ d = 2.

Numbers = (72 - 2), 72, (72 + 2)

Hence, numbers are 70, 72, 74.

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