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- Split 207 into three parts such that these arein AP and the product of the two smallerparts is 4623 |
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Answer» Answer: The NUMBERS are 71, 67 and 69. Step-by-step EXPLANATION: Let the three numbers be a - d, a , a + d Given to us: The sum of the three numbers = 207 Product of the smaller parts = 4623 Sum of the numbers: a - d + a + a + d = 207 3a = 207 a = 207 / 3 a = 69 Multiplying the two smaller parts: (a-d) (a) = 4623 Substituting the value of a which is obtained, (69 - d) (69) = 4623 (69 - d) = 4623 / 69 69 - d = 67 ∴ d = 69 - 67 = 2 The numbers are as follows: a + d = 69 + 2 = 71 a - d = 69 - 2 = 67 a = 69 Therefore, the numbers are: 71, 67 and 69 |
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