The numbers are 80, 82, 84.
Solution:
By examining the integers 1,2,3,4,5,6...observe that the difference between any two consecutive even (or odd) integers is 2.
Also for any integer x, 2x is even. Now let 2x, be the smallest of the integers, then the next two even integers are 2x + 2 and 2x + 4.
Sum of the integers = 246
Therefore, 2x + (2x + 2) + (2x + 4) = 246
6x + 6 = 246
6x / 6 = 240 / 6
x = 40
Hence the numbers 2x, 2x + 2 and 2x + 4 are 80, 82, 84.
Tip! CalculusTricks shares 4 simple Algebra tricks that can improve your grades.