# Number Jumping (notes)

This note came from https://brilliant.org/practice/number-jumping-i/?chapter=gcd-and-lcm and if you don’t understand what the math behind it means, this is the note you’re looking for. I recommend to click the link and finish the quiz before coming back.

Example:
Ryan has two numbers; 9 and 14. He can add 9 or subtract 9. He can also do the same with 14. Can he get to any number he wanted with just those two numbers (including negative just for fun)?

This problem is relatively easy, if you know how to solve it. All you need to do is find the G.C.D. (A.KA. Greatest Common Divisor). 9 has factors of 1, 3, and 9. 14 has factors of 1, 2, 7, and 14. The G.C.D. Of 9 and 14 is 1, so:
Yes, Ryan can reach any number he wanted (again, including negative).

Still confused, well here’s a simple math equation to clear up confusion:
(9x3) - (14x2) = 1

The same thing can be done for negative numbers:
(9x-3) + (14x2) = -1

And from there, you can add or subtract -1 to -1 continuously, and you will cover up all the numbers. the opposite is also true with 1.

Now you can use that knowledge to solve my sequel quiz to this note:
https://brilliant.org/problems/number-jumping-a-follow-up-problem-to-number/

P.S.: If I can reach #10 or higher on new quizzes, then I will post a not about Python followed by a quiz about it a few days after. (not the giant snake Apollo slain at least 2 times already) (the coding language). Also, it’s in the new section as well as the number theory section.

Note by Ash Ketchup
1 month, 1 week ago

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If you can’t seem to get into the link, just copy and paste it.

- 1 month, 1 week ago

Also, I will know if the problem is #10+ on popular, because I will check every day.

- 1 month, 1 week ago

Kidding right? Like and sub!

- 1 month, 1 week ago

Bincky will not know how to solve this: I got bincky from Percy jackson

- 1 month, 1 week ago

Hello there, are you the person who just happened to have said my name?

- 1 month, 1 week ago

Do you know the book?

- 1 month, 1 week ago

No offense

- 1 month, 1 week ago

Why would I be offended?

- 1 month, 1 week ago

Well Percy Jackson is kind of a cartoon to me but I still like reading it

- 1 month ago

Cartoon lol 😆😆😆😆😆😆😆😆😆

- 1 month ago

Yes I do. What do you mean by 'bincky'?

- 1 month, 1 week ago

Biancia

- 1 month ago

I mean the character

- 1 month ago

That kinda died because of Peter johnson

- 1 month ago

Umm ‘Peter jhonson?’

- 1 month ago

‘Peter Johnson

- 1 month ago

A.K.A. Percy Jackson or as Dionysus would put it, “Whatever...”

- 1 month ago

Percy jackson

- 1 month ago

Wat pahry

- 1 month ago

Nevermind...

- 1 month ago

I believe the answers to the "math equation" examples were switched. The first equals $-1$, the second, $1$.

Very clever solution!

- 1 month, 1 week ago

@David Stiff oh okay I will correct it immediately

- 1 month, 1 week ago

Thanks for pointing out the mistake

- 1 month, 1 week ago

No problem!

- 1 month, 1 week ago

David Stiff - 2 days, 5 hours ago

- 1 month ago

:)

- 1 month ago

Lol

- 1 month ago