Natalie thinks of a number.
She then does the following operations:
Multiply by 3, subtract 7, multiply by 3 then add 37 (in that order).
She finds that the number she ends up with is 11 times her original number.
What was Natalie's original number?
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This question is best answered by forming an algebraic equation then solving it. Let Natalie's original number be x.
First operation gives 3x
Second operation gives 3x- 7
Third operation gives 3(3x- 7)
Fourth operation gives 3(3x- 7) + 37
This is equal to 11 times the original number
3(3x - 7) + 37 = 11x
9x- 21 + 37 = 11x
x = 8
Natalie's original number was 8.
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