By solving a linear equation we can see that:
Here we have two consecutive even integers, we can write these as x and x + 2
We know that half of the smaller of the two is equal to 2 more than the larger one, this can be writen as:
x/2 = (x + 2) + 2
Now we can solve that linear equation for x:
x/2 = x + 2 + 2
x/2 = x + 4
-4 = x - x/2
-4 = x/2
-4*2 = x = -8
The smaller number is -8
The larger number is -8 + 2 = -6
If you want to learn more about linear equations:
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