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

Question

A. 4, 10

B. 4, 6

C. 2, 12

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.

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