Mathematics
Split 207 into three parts such that these parts are in A.P. and the product of the two smaller parts is 4623.
AP
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Answer
Let the numbers be a - d, a, a + d.
According to question,
⇒ a - d + a + a + d = 207
⇒ 3a = 207
⇒ a = 69.
Given,
Product of the two smaller parts is 4623
⇒ (a - d)(a) = 4623
⇒ 69(69 - d) = 4623
⇒ 4761 - 69d = 4623
⇒ 69d = 4761 - 4623
⇒ 69d = 138
⇒ d = 2.
Numbers = (69 - 2), 69, (69 + 2).
Hence, numbers are 67, 69, 71.
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