Question

The sum of the three consecutive odd numbers is 159. Find the numbers.

• A. 53, 54, 55
• B. 51, 52, 53
• C. 51, 53, 55
• D. 50, 51, 52

Answer 1

The correct option is C

51, 53, 55

Let the numbers be 2n +1 , 2n +3 and 2n +5.

Then the sum is : 2n + 1 + 2n +3 + 2n + 5 = 6n + 9

6n + 9 = 159 (given)

6n = 159 – 9

6n = 150

n = 150 ÷ 6

n = 25

$\therefore$ The numbers are 51,53,55.