What are three consecutive odd integers such that the sum of the first and third equals the sum is the second and 31

Answer 1

Consecutive odd integers are two integers apart. So

let the first integer = x

the second consecutive odd integer = x + 2

the third consecutive odd integer = x + 4

"Sum" means addition.

"the sum of the first and the third" x + (x + 4)

"the sum of the second and 31" (x + 2) + 31

x + (x + 4) = (x + 2) + 31

2x + 4 = x + 33

x = 29

x + 2 = 29 + 2 = 31

x + 4 = 29 + 4= 33

The integers are 29, 31, 33

For other problems.....This same method can be used for consecutive even integers too.

Answer 2

29, 31, 33