Please help me solve this one. I am looking for 4 digit answers for PLAE and MMSS
MAKE+SEAK=PLAE
ELKS+ESSK=MMSS
To solve this puzzle, we need to assign unique digits to each of the letters (P, L, A, E, M, S, K) in order to make the given equations true.
Let's first work on the equation MAKE + SEAK = PLAE. Since this is an addition problem, we can start by looking at the units digit. The only way to get a units digit of E is if A + K equals E or 10 + K equals E. Since E is a digit, it must be between 0 and 9. Therefore, the only possibility for A + K is 10, which means E must be 0.
Now, looking at the tens digit, we can see that 1 + E (which is 0) + S can give us a tens digit of L. The only way this is possible is if S is equal to 9, because 1 + 0 + 9 equals 10 and the tens digit is L.
Moving to the hundreds digit, we have M + A + S equaling P. Since M cannot be 0 (as E is already 0), the only digit left is 2 (because S is already 9). Therefore, M must be 2.
Finally, we can assign the remaining digit, which is 8, to K.
So, the values for each letter are:
M = 2
A = 10 - 8 = 2
K = 8
E = 0
S = 9
Now, let's check if these values satisfy the second equation.
ELKS + ESSK = MMSS
Using the assigned values, we get:
2098 + 9098 = 11196
This equation does not hold true since 11196 is not a four-digit number.
Therefore, there is no solution that satisfies both equations simultaneously.