Question

Find three consecutive odd numbers whose sum is 219.

Answer 1

Let the three consecutive odd numbers be x, x + 2, x + 4.
Given, their sum = 219
Therefore,
x + x + 2 + x + 4 = 219
3x + 6 = 219
3x = 219 - 6
3x = 213
$x=\frac{213}{3}$
x = 71
The other numbers are
x + 2 = 71 + 2 = 73
x + 4 = 71 + 4 = 75
Therefore, three odd numbers are 71, 73 and 75.