Answer:
the greatest of the 4 numbers is 36
Explanation:
consecutive even numbers have a difference of 2 between them
let the 4 numbers be
n , n + 2 , n + 4 , n + 6
sum the 4 numbers and equate to 132 , solving for n
n + n + 2 + n + 4 + n + 6 = 132 ( simplify left side )
4n + 12 = 132 ( subtract 12 from both sides )
4n = 120 ( divide both sides by 4 )
n = 30
the greatest number is n + 6 , so
n + 6 = 30 + 6 = 36