A fun math trick :)

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Avatar of Arby

Dear EinsteinSmile,

 

Don’t forget the advise on NOT finding out our weight. And before I forget, we’re sensitive on the age thing too…well, not all of us – only those that surpass a certain age.

 

Yours Sincerely,

 

AllyInnocent

Avatar of AquaMan

27.  What's my height and weight?  ;)

 

hint: just make the answer flattering.  I of course would reply, "That's right!," and everyone will think you have a really neat trick. 

Avatar of AquaMan

That was cool.  Got the proof.  Thanks.  Gleaned it while it was here temporarily.   Learn something new every day.

Avatar of maniac2008

einstien how did u know that? are u sum kind of mathmatician... ??? lol

Avatar of Ricardo_Morro

2+3=5, 9-5=4. Didn't I explain this?

Avatar of maniac2008

cool

Avatar of lukeyboy_xx

lol nice maths

Avatar of maniac2008

lol still dont understand it

Avatar of masteryoda

easy I figured it out

Avatar of masteryoda

Here's how I did it

                 33333 is my number they add to 15. 33333-15=33318. Say I cross an 8. I add up 3,3,3, and 1, which is 10. 18 is one of the multiples of nine, and its a number closest to, but greater than 10. 18-10= 8

Avatar of itaibn

12345 = 1*(9999+1)+2*(999+1)+3*(99+1)+4*(9+1)+5*(0+1) = 1*9999+2*999+3*99+4*9+5*0 + 1+2+3+4+5 = 9*(1*1111+2*111+3*11+4*1+5*0) + 1+2+3+4+5

Every number minus the sum of its digits is a multiple of nine. Similarly, every multiple of nine has the sum of its digits a multiple of nine. Now, crossing out a digit and then summing is identical to summing and then subtracting the digit. Therefore, the only non-zero digit such that the answer sums to a multiple of nine is the digit crossed.

Avatar of einstein_69101
itaibn wrote:

12345 = 1*(9999+1)+2*(999+1)+3*(99+1)+4*(9+1)+5*(0+1) = 1*9999+2*999+3*99+4*9+5*0 + 1+2+3+4+5 = 9*(1*1111+2*111+3*11+4*1+5*0) + 1+2+3+4+5

Every number minus the sum of its digits is a multiple of nine. Similarly, every multiple of nine has the sum of its digits a multiple of nine. Now, crossing out a digit and then summing is identical to summing and then subtracting the digit. Therefore, the only non-zero digit such that the answer sums to a multiple of nine is the digit crossed.


 nice work  :)

Avatar of einstein_69101
estevon wrote:

12345.


Is that the final sum you came up with?  :)  It is a huge sum.  If it is then you crossed out a 3.  :)

Avatar of Charmander

K

Avatar of Charmander

K

Avatar of Poweranony
Very interesting concept
Avatar of Qinshu111_the_chess_panda

I know I’m late but I have a sum u can’t do the trick on

Avatar of Qinshu111_the_chess_panda

It’s not base 10 btw hehehe