Problema Solution

Consecutive odd integers are 1,3,5,7. The sum of two consecutive odd integers is 104. Write and solve an equation to find the two integers. Let 2x-1 represent the first odd integer.

Answer provided by our tutors

Let 2x - 1 represent the first odd integer then the second odd integer will be 2x + 1 since the difference between 2 consecutive odd integers is 2.

The sum of the 2 consecutive integers is 104 means:

(2x - 1) + (2x + 1) = 104

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click here to see the equation solved for x

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x = 26

2x - 2 = 2*26 - 1 = 51

51 + 2 = 53

The 2 consecutive odd numbers are 51 and 53.