Question 173397
The smaller of two consecutive even integers is five more than one-half of the greater.  Find the integers.

Let x = the smaller even integer

Let x + 2 = the larger even integer

The statement "The smaller of two consecutive even integers is five more" can be written simply as x + 5.

The statement "one-half of the greater" is written (1/2)(x + 2).

We now equate the two quantities and solve for x.

x + 5 = (1/2)(x + 2)

Can you take it from here?

When you find x, plug the value of x into the first and second even integers as written above.