Question

The sum of two consecutive even integers is at most 400. Find the pair of integers with the greatest sum

Answer 1

Hope this helps.

The largest pair of consecutive integers are 198 and 200.

Explanation: hope it helps

If the sum of two equal even numbers is 400, the numbers will be 200+200.
Therefore the largest possible consecutive even numbers which have a sum of 400 or less are 198 and 200 which have a sum of 398.

Any pair of consecutive numbers less than these will have a sum of less than 400.