How do you find three consecutive odd integers whose sum is 69?
February 20th, 2023
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##