Question

Find three consecutive odd numbers whose sum is 219

Answer 1

Let the 3 consecutive odd numbers be 2k+1,2k+3 and 2k+5 where k is an integer.
Then sum of numbers = 2k+1+2k+3+2k+5= 6k+9= 219
so 6k = 210
k = 210/6= 35
The numbers aare therefore:
2k+1= 2(35)+1 = 71, 73,75
Answer:71,73,75