3) Find two consecutive even integers such that their sum is equal to the difference of 3 times the larger & 2 times the smaller. What do they mean by the larger and the smaller?

In assumption, x is the smaller even integer and x+2 is the next so it will be larger.

The integers are 4 and 6

Step-by-step explanation:

Let the two consecutive even integers be x and x+2

Here x is the smaller even integer and x+2 is the next so it will be larger.

Now according to the given statement

Sum of both:

difference of 3 times the larger & 2 times the smaller:

Putting the sum and difference equal:

Solving the equation

The next integer will be:

Hence,

In assumption, x is the smaller even integer and x+2 is the next so it will be larger.

The integers are 4 and 6.