Question

the sum of 3 consecutive even integers is 462 find the integers

Answer 1

You could use algebra or you could just guess. Which do you prefer?

Answer 2

algebra

Answer 3

Let x = the smallest of the even integers.
The other integers in the consecutive sequence will then be x + 2 and x + 4
So, x + (x + 2) + (x + 4) = 462
Solve that for x you get
3x + 6 = 462
3x = 456
x = 152
So the answer is: 152, 154, 156
Guessing is MUCH easier, by the way

Answer 4

Think. We want to add 3 even integers that are pretty close together and get 462.
What is 462 divided by 3? It's 154
So try 154, 156, 158. Add em up. Too big
Next try 152, 154, 156. Works! Finished