1. ## Number Problem

Hii

Set this number problem as a "fun" extension homework, just can't get my head round it. The only way i see of figuring it out is through trial and error, and i really don't have time for that.

Anyway, here goes:

"Below is a puzzle containing 4 different letters, which each represent a different number (positive, integer). The "?" can be substituted for any of the numbers to achieve the totals. The total is the sum of all numbers on that row. Submit the each of the numbers."

K + S + ? + ? = 14

? + ? + P + N = 48

K + P + ? + ? = 27

N + ? + N + S = 20

So far i have that:
4<N<18
S<12
K<12
P<25

NB: If u know a way to solve it, but don't have time to actually work out the answers, could you hit me up with a method for solving it?

Cheers

2. Cheers for the help guys, appreciate it.

3. Originally Posted by smurfyboy88
"Below is a puzzle containing 4 different letters, which each represent a different number (positive, integer). The "?" can be substituted for any of the numbers to achieve the totals. The total is the sum of all numbers on that row. Submit the each of the numbers."

K + S + ? + ? = 14

? + ? + P + N = 48

K + P + ? + ? = 27

N + ? + N + S = 20

So far i have that:
4<N<18
S<12
K<12
P<25

Cheers
n is 9 or smaller (according to the fourth equation)
Your approach of defining the min/max value of the variables is probably the key.

Question:
Could you recheck the fourth equation?
Is it correct?
Since you indicated n<18; if n + n + something = 20 then n cannot be greater than 10.

4. Originally Posted by smurfyboy88
Hii Set this number problem as a "fun" extension homework, just can't get my head round it. The only way i see of figuring it out is through trial and error, and i really don't have time for that.
Anyway, here goes:
"Below is a puzzle containing 4 different letters, which each represent a different number (positive, integer). The "?" can be substituted for any of the numbers to achieve the totals. The total is the sum of all numbers on that row. Submit the each of the numbers."

K + S + ? + ? = 14 Eqn1
? + ? + P + N = 48 Eqn2
K + P + ? + ? = 27 Eqn3
N + ? + N + S = 20 Eqn4

So far i have that:
4<N<18
S<12
K<12
P<25

NB: If u know a way to solve it, but don't have time to actually work out the answers, could you hit me up with a method for solving it?
Cheers
The variables k,s,p,n are "different positive integers"

After a few observations:

$\displaystyle 0 \le s \le 14$

$\displaystyle 0 \le k \le 3$

$\displaystyle 24 \le p \le 27$

$\displaystyle 7 \le n \le 10$

NONE of the values for n {7,8,9,10} work with the other value to have four equations as given.

Something (or several things) are not correct.
No solution is possible with the given data.

.
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