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Let's assume the first odd number is x. Then the next two consecutive odd numbers would be x + 2 and x + 4. The product of these three numbers is x(x + 2)(x + 4) = 29667. By trial and error, we find that x = 51 satisfies this equation. Therefore, the three consecutive odd numbers are 51, 53, and 55.

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5mo ago
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10y ago

they are 29 31 33

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Q: What three consecutive odd numbers have a product of 29667?
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What three consecutive odd numbers have a sum of 29667?

The average of the three numbers will have to be 29667/3 = 9889. Taking one odd number from each side means that the three odd numbers in the sum would be 9887 + 9889 + 9891 = 29667.


What 3 consecutive odd numbers have a product of 29667?

The numbers can be represented as n - 2, n and n + 2 so that (n - 2)n(n + 2) = 29667 This can be expressed as n(n2 - 4) = n3 - 4n = 39667 and the roots solved for a cubic equation. However, the problem can also be solved by factoring. If the numbers are a, b and c then a x b x c = 29667 and a, b and c are clearly factors of 29667. The factors of 29667 are 3 x 11 x 29 x 31 which can be stated as 33 x 29 x 31. The three consecutive numbers are therefore 29, 31 and 33.


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