Question

Find three consecutive even integers such that their sum decreased by 34 is equal to the first integer. Find the first integer.

Answer 1

The first number: 14

The second number: 16

The third number: 18

Explanation:

Equations

Let's assume:

x=the first even number.

x+2=the second even number

x+4=the third even number

The sum of all three is: x + x + 2 + x + 4

The condition states the sum decreased by 34 equals the first number:

x + x + 2 + x + 4 - 34 = x

Moving all the variables to the left side and the numbers to the right side:

x + x + 2 + x + 4 - 34 - x = 34 - 2 - 4

Simplifying:

2x = 28

Solving:

x = 28 / 2 = 14

The first number: 14

The second number: 16

The third number: 18