Question

The sum of four consecutive even integers is 98. Which of the following equations represents this scenario?

A) x + x + x + x = 98
B) x + (x + 1) + (x + 3) + (x + 5) = 98
C) x + (x + 1) + (x + 2) + (x + 3) = 98
D) x + (x + 2) + (x + 4) + (x + 6) = 98

Answer 1

D

Explanation:

Since it's even consecutive integers, you can say that to find the integers you skip 2.

Therefore, you would have x+2, x+4, and x+6.

Answer 2

Step-by-step explanation: To find out which of the following equations would represent the scenario of consecutive even integers, we need to understand what consecutive even integers are.

Consecutive even integers are integers but they are even so unlike consecutive integers, we skip 1 in between.

In the image provided, I have written on the whiteboard 3 numbers. If we use x to represent our first number, our second number can be represented as x + 2 and our third number can be x + 4.

In fact any 3 consecutive even integers can be represented as X + X + 2 + X + 4.

If we have four consecutive even integers, are setup will be the same but we will go one step further and add X + 6.

Since D deals with consecutive even integers, it would be our answer.