The expression can be simplified to:
x + y/100
Where x is the month and y the day. This is why it always works.
Why does the trick always work?
Let's define the two variables x and y as the month of your birth and the day of your birth respectively.
Now let's write the expression by following the steps, you should get:
((((7*x - 1)*13 + y + 3)*11 - x - y)/10 + 11)/100
Now let's simplify the expression we will get:
((((7*x - 1)*13 + y + 3)*11 - x - y)/10 + 11)/100
(((91x - 13 + y + 3)*11 - x - y)/10 + 11)/100
(((91x - 10 + y)*11 - x - y)/10 + 11)/100
((1001x - 110 + 11y - x - y)/10 + 11)/100
(( 1000x - 110 + 10y)/10 + 11)/100
You already can see what will happen here:
(( 1000x - 110 + 10y)/10 + 11)/100
(100x - 11 + y + 11)/100
(100x + y)/100 = x + y/100
So the expression will do the exact same thing for every values of x and y that you decide to use, it does not depend on your exact date of birthday.
If you want to learn more about expression:
https://brainly.com/question/723406
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