Question

The sum of three consecutive even numbers is 36. What are the numbers?

• A. 10, 12, 14
• B. 12, 14, 16
• C. 5, 6, 7
• D. 14, 15, 16

Answer 1

The correct option is A 10, 12, 14

Let the smallest even number be '$2x$'.
Because, the difference between any two consecutive even numbers is 2.
So, the other two numbers are $2x+2$ and $2x+4$.
$2x+(2x+2)+(2x+4)=366x+6=366x=36-66x=30x=\frac{30}{6}x=5$

$2x=2\times 5=10$
$2x+2=2\times 5+2=12$
$2x+4=2\times 5+4=14$
Thus, the three consecutive even numbers are 10, 12, 14.