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