Question

If the sum of six consecutive even integers is 282, then what is the largest of the integers

Answer 1

52

Explanation:

Let the smallest even number = x

The next even number is x + 2, and the next is x + 4, and the next is x + 6, and the next is x + 8, and the next is x + 10

So the six numbers are: x, x + 2, x + 4, x + 6, x + 8, x + 10

The sum of all these numbers = 282

Solve:

6x + 30 = 282

6x = 252

x = 42

Now, the largest integer is x + 10, or in this case, it is 42 + 10 = 52

-Chetan K