SOLUTION: There are three consecutive odd integers. Two-thirds of the first number is 159 less than the sum of the second and third numbers. What are the integers?

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Question 551034: There are three consecutive odd integers. Two-thirds of the first number is 159 less than the sum of the second and third numbers. What are the integers?
Answer by solver91311(24713) About Me  (Show Source):
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No solution.

Let represent the first odd integer. Then the next consecutive odd integer is and the subsequent odd integer is

The sum of the second and third numbers is then and 159 less than said sum is

And finally:







But 459 is not evenly divisible by 4, hence cannot be an integer, odd or otherwise.

John

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