Question

The sum of three consecutive odd natural numbers is 38 more than the average of these numbers. What is the smallest of these numbers?

• A. 17
• B. 19
• C. 15
• D. 23

Answer 1

The correct option is A

17

Let the numbers be x, x + 2 and x + 4.

Then, [x + (x+2) + (x+4)] - $\frac{x+(x+2)+(x+4)}{3}$ = 38

$⟹$(3x + 6) -$\frac{(3x+6)}{3}$ = 38

$⟹$2(3x + 6) = 114 or 6x =102

$⟹$x = 17