Question

Find the consecutive even integers such that their sum is equal to the difference of three times the larger and two times the smaller

Answer 1

Let the integers be x and x + 2, then
x + x + 2 = 3(x + 2) - 2x
2x + 2 = 3x + 6 - 2x
2x + 2 = x + 6
2x - x = 6 - 2
x = 4

Therefore, the integers are 4 and 6