# Magic Gopher

# Magic Gopher

Instructions:

Think of a number with two digits. For example **43**.

Now add the two numbers together. For exammple **4** + **3** = **7**.

Next, subtract the new number from your orginal number. For example **43 **- **7** = **36**.

Finally, look at the symbol next to your number. Remember it.

Now the Magic Gohper will read your mind and tell you what your symbol is. Watch carefully.

418

Think of a number with two digits. For example, 43. Follow the Magic Gopher's instructions and he will amaze you by telling you what number you chose.

## Comments

Of course he gets it right. You subtract the two nubers added from the original number. Example: 43. You subtract 4+3. Instead of taking 43-7, take 43 -3 -4. You will get the same answer. However this proves that no matter what nuber you choose you will always subtract the second number (in this case 3) to get a number that ends with 0 (in this case 40). Then the nuber you subtracted second can only be 1, 2, 3, 4, 5, 6, 7, 8 or 9 And the only possible outcomes will be, 90 - 9 = 81, 80 - 8 = 72, 70 - 7 = 63, 60 - 6 = 54, 50 - 5 = 45, 40 - 4= 36, 30 -3 = 27, 20 - 2 = 18 and 10 - 1 = 9. You might notice that all of these numbers are in the 9's multiplication table. That is because when multiplying by 9 you can instead multiply by 10 and subract the other number. For example: 5*9 = 5*10 - 5 = 50 - 5 = 45. First you add one 5 and then you subtract it again. 9*5 = 9*5 + 5 - 5.

For me, this exercise did not work. I can´t see the game it´s just white. Please help??

Hi Emmobe,

Thanks for your comment. We have a problem with this game and a few others and we're trying to fix them. The Magic Gopher should be back soon! Sorry about this!

Best wishes, Jo (LearnEnglish Teens Team)

What would you have two-digit number you do not put forth - after subtraction of the two components can only get numbers of 81, 72, 63, 54, 45, 36, 27, 18 or 9. Look - in the symbol table, all symbols corresponding to these numbers - the same. Naturally, the square provides exactly what you "put forth"

And that did not raise suspicions, the picture is constantly changing.

That's the whole secret.

He guessed correct each and every single number...He is incredible!

This is magic!

This doesn't work on phone

Hi gore_ross, You're right, it doesn't work on a phone, I'm sorry. We're working to make all of our site mobile friendly in the near future. Best wishes, Joanna (LearnEnglish Teens team)

its a supid mouse never guess the right

.......................... This stupid mouse guess my 5 numbers in a row ...

Now let me explain you the reason. The number is 2 dight, so it should be (10a+b). Follow his instructions, it will end up as 9a. now you wold mention the mutiply of 9's sign is all the same.

He's a raccon, not a mouse!

I can't understand this game! Someone help me, please!

Simple! I dont know how but the game knows at what symbol you are looking at,and it can guess it.Try to do a random number,remember the symbol and try it again with the same number,look at another symbol and it wont guess the correct symbol!

Sorry for my bad English

Sorry danieldane but i tried that and he can guess your number simply because every answer you have is a multiple of 9,if you look at the symbol page all multiples of 9 (other than 90) HAVE THE same symbol!!

I cannot believe it, but it's true. I am both surprised and thrilling when I play this game.

the answers are always going to be multiples of 9

unknown number count is now 15 1 + 5 = 6, then 6 -1 = 5, and then look at the number of such 16 and voalya

it did it wrongly,haha!!!!

No, I think you did it wrongly!

not just guessing the number 81, 72, 63, 54, 45, 36, 27, 18 or 9

OMG!!!!!!!

Oh my Gosh . He did...How?

I'm interested!

hi ,

any nubmer divided by 9 is going to end up as the result

Look, if you take a number N=10xa+b, where b is between 0 and 9 and a between 1 and 9. Ok?

So, you have (10a+b) - (a+b)=9a, right ? After that, look at the multiples of 9, they have all the same sign. When you have your result (ex: 12>1+2=3>12-3=9), which is a multiple of 9. The squirrel must just say these sign and he's right ! Understood, now ?

Oh... I can't understand.... I'm very sorry....

OMG! How?

Woof4, look, if you take N=10a+b, where b is between 0 and 9, and a between 1and 9, you have :

(10a+b) - (a+b) = 9a. Ok? So, the result can only be a multiple of 9 : 9,18, 27, 36, 45, 54, 63, 72, 81, 90. After that, look at the signs in the table. You can notice that all the multiplies of 9 have the same sign. The squirrel has just to show this sign and he's right. You see, it's no magic, but mathematics.

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