Question

The sum of three consecutive even integers is -198. find the largest integer.

Answer 1

Guess and check works here. Since the sum is negative, we know that the 3 consecuticve even integers must be negative (and pretty big :P). Guessing and checking, we find that the sequence is -64, -66, -68. We are trying to find the largest integer, which is -64.

Answer 2

Let, the integers = x, x + 2, x+ 4

It is given that, x + x+2 + x+4 = -198
3x + 6 = -198
3x = -198 - 6
x = -204/3
x = -68
Largest number, x+4 = -68+4 = -64

In short, Your Answer would be: -64

Hope this helps!