Equations from word problems
Let's set the variable x defined as follows:
x = The first even integer
The next even integers are x + 2, x+4, and x+6.
The sum of all of them is 68, thus:
x + x + 2 + x + 4 + x + 6 = 68
Simplifying:
4x + 12 = 68
Subtracting 12:
4x = 68 - 12
4x = 56
Dividing by 4:
x = 56 / 4
x = 14
Thus, the consecutive even numbers are 14, 16, 18, and 20
It can be checked their sum is 68 as required