Problema Solution

If the first and third of three consecutive odd integers are added,the result is 81 less than five times the second integer. Find the third integer.

Answer provided by our tutors

The three consecutive odd integers can be written as:

2x - 1, 2x + 1, 2x + 3, where x is integer

2x - 1 is the first odd integer

2x + 1 is the second odd integer

2x + 3 is the third odd integer

(2x - 1) + (2x + 3) = 5(2x + 1) - 81

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x = 13

2*13 + 3 = 26 + 3 = 29

The third odd integer is 29.