Question

The sum of 3 consecutive even integers is 78. What is the largest of the integers?

Answer 1

28

Explanation:

Let the first even integer be a.

The second even integer = a + 2

The third even integer = 2 + (a + 2) = a + 4

The sum of three consecutive even integers = 78

78 = a + (a + 2) + (a + 4)

78 = 3a + 6

72 = 3a

a = 24

The largest even integers is the third even integer = a + 4 = 24 + 4 = 28