Problema Solution
The sum of four even consecutive numbers is 100. What is the difference between the smallest and the largest number?
Answer provided by our tutors
the four even consecutive numbers can be written as
2x - 2, 2x, 2x + 2, 2x + 4 where x is integer
2x - 2 + 2x + 2x + 2 + 2x + 4 = 100
8x + 4 = 100
8x = 96
x = 12
the four even consecutive numbers are: 22, 24, 26, 28
the difference between the smallest and the largest is 28 - 22 = 6.