Question

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

Answer 1

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`