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You are HERE >> Mathematics : Algebra : Grade 9 
by Elaine Ernst Schneider September 13, 2000
ANSWER: To understand why the puzzle works, you must solve it algebraically. Let x = your house number. Let y = your age.
Let A = answer
Using the numbered list of instructions, set up the problem as an algebraic equation. It would look like this: A = 50(2x + 5) + y + 365  615
100
A = 100x + 250 + y +365 615
100
A = 100x + y
100
A = x + y/100
Therefore, x = the house number (You started with this number.)
y/100 = your age (When you divide by 100, you move the decimal point two
places to the left.)
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