The sum of 3 consecutive odd integers is 87. What are the consecutive integers?

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We are asked to find 3 consecutive odd integers that have a sum of 87.

=>  let x = the first odd integer

=>  let x + 2 = the second odd integer

=>  let x + 4 = the third odd integer

Write the equation to solve.

=> x + x + 2 + x + 4 = 87

=> 3x + 6 = 87

=> 3x = 81

=> x = 27  (first odd integer)

=> x + 2 = 29  (second odd integer)

=> x + 4 = 31 (third odd integer)

The consecutive odd integers with a sum of 87 are the following:  27, 29, 31.

 

 

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