How do you find three consecutive odd integers whose sum is 69?

Let the smallest of the three consecutive odd numbers be ##x##

The next two consecutive odd integers can be written as ## (x+2) , (x+4)##

Adding them: ## (x) + (x+2) + (x+4) = 69## ## 3x + 6 = 69## ## 3x = 63## ## color(purple)(x = 63/ 3 = 21##

so ,## x+2 = 23, x+ 4 = 25##

The numbers are ##color(purple)(21,23,25##