Question

Find three consecutive even integers such that the sum of the

least integer and the middle integer is 42 more than the greatest
integer.

Answer 1

44, 46, and 48

Explanation:

If x is the smallest number, then the other numbers are x+2 and x+4.

The sum of the least and middle is 42 more than the greatest:

x + x+2 = x+4 + 42

Solving:

2x + 2 = x + 46

x = 44

The numbers are 44, 46, and 48.

Check:

44 + 46 = 90

48 + 42 = 90