There are 4 consecutive even integers that sum to 124. What is the greatest of these integers?

Answer 1

Even integer + next even integer + next even integer + next even integer = 124

x + (x+2) + ((x+2)+2) + (((x+2)+2)+2) = 124

x + x + 2 + x + 4 + x + 6 = 124

4x + 12 = 124 (subtract 12 from both sides)

4x = 112 (divide both sides by 4)

x = 28

Check:

28 + 30 + 32 + 34 = 124

Solution verified.

The greatest of these integers is 34.