# The Grey Labyrinth is a collection of puzzles, riddles, mind games, paradoxes and other intellectually challenging diversions. Related topics: puzzle games, logic puzzles, lateral thinking puzzles, philosophy, mind benders, brain teasers, word problems, conundrums, 3d puzzles, spatial reasoning, intelligence tests, mathematical diversions, paradoxes, physics problems, reasoning, math, science.

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CrystyB
Posted: Mon Jan 06, 2003 5:20 pm    Post subject: 1

code:

11. § + ¨ = © + ª
§ = ¨ + © + ª
§ + ¨ + © = ª
§ = ¨ + 42
12. -9§+ 6¨+ 6©- 3ª= -105

HINT: Using Kramer's way of solving a system of linear equation, we get (105084/17514, 17514/17514, -87570/17514, 157626/17514).

[This message has been edited by CrystyB (edited 01-07-2003 02:53 AM).]
mikegoo
Posted: Tue Dec 31, 2002 12:18 am    Post subject: 0

I like #6
mathgrant
Posted: Mon Dec 30, 2002 9:14 pm    Post subject: -1

OK class, let's learn some algebra.

a=a
a+b=b+a
a*b=b*a
a*(b+c)=a*b+a*c
If a=b and b=c then a=c
If a=b then b=a
a+0=a
a*1=a
a*0=0

IMPORTANT!
If a=b:
a+c=b+c
a-c=b-c
a*c=b*c
a/c=b/c

Also, if a=b and c=d:
a+c=b+d
a-c=b-d
a*c=b*d
a/c=b/d

Solve all 12 of these equations/equation systems, and you pass.

1. x=0*x+42
2. x*1*1*1=61
3. x+6=8+6
4. 2(x+6)=100+x
5. 6*(3x+8)-7*(2x-11)=149

6. x+y=7+100, x-y=7-100
7. x+2y=10, 2x+y=11
8. 7x=3y-1, x-1=y
9. 931-x=y+x, 911+x=y-x

10. x+y+z=10, x-y=1, z-y=6