## Question

`The sum of two consecutive even numbers is 14. What are the numbers?`

`The sum of two consecutive even numbers is 14. What are the numbers?`

A. 4, 10

B. 4, 6

C. 2, 12

D. 6, 8

**Answer: D. 6, 8**

**Solution:**

The numbers would be on the two sides of the average, which is 14/2=7.

**The numbers are 6 and 8 (conjecture).**

let x equal the first number.

let x+2 equal the second number.

the sum is 14.

x + x + 2 = 14.

2x = 12.

x = 6.

therefore the first number x is 6, and the second number x+2 is 8.

to check and re-sub the solutions back to find the sum.

6 + 8 = 14.

so therefore the two consecutive even numbers are **6 and 8.**

**Read more:**

**What is the next number in this series: 2, 6, 15, 40, 145, ___?**