I designed a graphic one. A pencil and paper "maze" puzzle. I was thinking about publishing it here on SN but wasn't sure. This is the first puzzle I see published here!
After checking a few numbers, I realized the greatest common divisor of 999 and 998 must be 1 since there is not much space between these numbers. So I give up.
Was fun to try to solve though, math exam flashbacks
(n^2-1)/(n-1)
=(n+1)(n-1)/(n-1)
=(n+1)
Smart bitch!! Didn't thought of that!
That's the way I used to solve it too...
sharp as a tack
(999^2)=998001
998001-1=998000
998000/998=1000
=1000
mhh, lol, I didn't think of calculating 999^2 in my head ... I thought there must be a trick somewhere.
doing it on scratch paper helps.
I thought it was going to be a lot harder.
There is a trick.
Hint: remember the formula for (a^2 - b^2)...
To calculate ((999^2 - 1) / 998), we can simplify it step by step.
[
999^2 = 998001
]
[
999^2 - 1 = 998001 - 1 = 998000
]
[
\frac{998000}{998} = 1002
]
Thus, the final result is:
[
\frac{999^2 - 1}{998} = 1002
]
Wtf, ChatGPT?!
Please do more of this :)
I'll try to go for a daily puzzle then...
Nice one! Do you like puzzles?
I do.
My work is solving puzzles, basically :)
Outside of work, occasionally.
I designed a graphic one. A pencil and paper "maze" puzzle. I was thinking about publishing it here on SN but wasn't sure. This is the first puzzle I see published here!
999
999(999-1)/998
Waowho
No paper, just in head...
Some easy facts:
1000*1000=(999+1)*(999+1) 999*1000=999,000 1000-999=1The hard mental math:
999*(1000-1)=999,000-999=998,001Ok, now it's obvious:
(998,001-1)/99821,000,000
6.4
999^2/998 - 1/998
After checking a few numbers, I realized the greatest common divisor of 999 and 998 must be 1 since there is not much space between these numbers. So I give up.
Was fun to try to solve though, math exam flashbacks