Question

If the sun of three consecutive odd numbers is 111 determine what the numbers are

Answer 1

35, 37 , 39

Explanation:

there is an interval of 2 between consecutive odd numbers

let the 3 consecutive odd numbers be n , n + 2 , n + 4 , then

n + n + 2 + n + 4 = 111

3n + 6 = 111 ( subtract 6 from both sides )

3n = 105 ( divide both sides by 3 )

n = 35

n + 2 = 35 + 2 = 37

n + 4 = 35 + 4 = 39

the 3 consecutive odd numbers are 35 , 37 , 39