Question

Find three consecutive odd integers such that the sum of the first and third equals the sum of the second and 29.

Answer 1

`2n-1,2n+1,2n+3` - 3 consecutive odd integers

`2n-1+2n+3=2n+1+29\\2n=28\\n=14\\\\2n-1=27\\2n+1=29\\2n+3=31`

27,29,31

Answer 2

27, 29, 31

Explanation:

We want to find a, b, c so that

a + c = b + 29

and

a = b - 2, c = b + 2

and

b is odd.

This results in

b - 2 + b + 2 = b + 29

with one solution:

b = 29.