Fri Dec 16, 2005 2:02 pm
sirclucky wrote:Comeon guys. I got two entries for the first round, and one incorrent entry for the second round. im not gonna make challenges if no one will respond.
Fri Dec 16, 2005 2:08 pm
Fri Dec 16, 2005 2:59 pm
sirclucky wrote:Even with both you are Paul, that would still only be two, tested.
To solve the problem, call the five answers A B C D and E
Question One: This is the answer to question two plus 3. (A=B+3)
Question Two: This is twice the answer to question one minus the answer to question four. (B=2*A-D)
Question Three: This is the total number of questions which have an odd answer times the answer to question five. ( C=odd*E)
Question Four: This is the answer to question one plus half the answer to question three. (A+1/2*C)
Question Five: This is twice the answer to question two minus 6. (E=2*B-6)
B=2*A-D
A=B+3
2*A=2*B+6
B=2*B+6-D
B+6=D
B+3=A
B=B
2*B-6=E
D=A+1/2*C
B+6=B+3+1/2*C
3=1/2*C
6=C
So either there is one odd number, and E is six. There are two odd numbers, and E is three, or there is one odd number, and E is two.
E is the difference of two even numbers, and thus must be even.
So either E is 6 or E is two.
If 2*B-6=2
2*B=8
B=4
D=10
A=7
C=6
E=2
There is only one odd number. Hence C would accually be 2*1=2. So E cannot be two.
If E is six then
2*B-6=6
2*B=12
B=6
A=6+3=9
B=6
C=6
D=+2+=12
E=6
Doubling checking that these all work.
A=9=B+3=6+3
B=2*A-D=2*9-12=18-12=6
C=*odds**E=1*6=6
D=A+1/2*C=9+6/2=9+3=12
E=2*B-6=2*6-6=12-6=6
Yay!
Fri Dec 16, 2005 3:01 pm
sirclucky wrote:Even with both you are Paul, that would still only be two, tested.
To solve the problem, call the five answers A B C D and E
Question One: This is the answer to question two plus 3. (A=B+3)
Question Two: This is twice the answer to question one minus the answer to question four. (B=2*A-D)
Question Three: This is the total number of questions which have an odd answer times the answer to question five. ( C=odd*E)
Question Four: This is the answer to question one plus half the answer to question three. (A+1/2*C)
Question Five: This is twice the answer to question two minus 6. (E=2*B-6)
B=2*A-D
A=B+3
2*A=2*B+6
B=2*B+6-D
B+6=D
B+3=A
B=B
2*B-6=E
D=A+1/2*C
B+6=B+3+1/2*C
3=1/2*C
6=C
So either there is one odd number, and E is six. There are two odd numbers, and E is three, or there is one odd number, and E is two.
E is the difference of two even numbers, and thus must be even.
So either E is 6 or E is two.
If 2*B-6=2
2*B=8
B=4
D=10
A=7
C=6
E=2
There is only one odd number. Hence C would accually be 2*1=2. So E cannot be two.
If E is six then
2*B-6=6
2*B=12
B=6
A=6+3=9
B=6
C=6
D=+2+=12
E=6
Doubling checking that these all work.
A=9=B+3=6+3
B=2*A-D=2*9-12=18-12=6
C=*odds**E=1*6=6
D=A+1/2*C=9+6/2=9+3=12
E=2*B-6=2*6-6=12-6=6
Yay!
Fri Dec 16, 2005 5:04 pm
Sat Dec 17, 2005 11:58 pm
sirclucky wrote:Heh. Sorry if you found it hard. Math comes naturally to me, and there was nothing more than algebra in that puzzle, so I guess im just not a good judge at whats hard and whats not =P
Sun Dec 18, 2005 6:05 pm