When Sally picks any number between 1 and 20, doubles it, adds 6, divides by 2 and subtracts 3, she always gets the number she started with. why?

Question

Mathematics

Eduardo Shepherd

17 May, 02:21

When Sally picks any number between 1 and 20, doubles it, adds 6, divides by 2 and subtracts 3, she always gets the number she started with. why?

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Answers (2)

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Shaun Lynch · Answer 1

Lets say number is x

doubles it (2x)

adds 6 (2x+6)

divide it by 2 (2x+6=2 (x+3) so 2 (x+3) divided by 2=x+3)

subtract 3 (x+3-3=x)

becasue math is fun, brah

Kimora Clarke · Answer 2

I think it might be because 2 and 3 are factors of 6.