Question

A set of 3 consecutive integers sums to 252. What is the value of the greatest integer?

Answer 1

The greatest is 85.

Explanation:

Let the 3 integers be x, x+1 and x+2 (because they are consecutive).

x + x + 1 + x + 2 = 252

3x + 3 = 252

3x = 249

x = 83.

So they are 83, 84 and 85.