If 3 different digits represent 3 different letters and each time a letter appears it represents the same digit how do i find the sum of the 3 digits represented? p is not zero.

pm
pm
pm
+pm
____
ap

If 3 different digits represent 3 different letters and each time a letter appears it represents the same digit how do i find the sum of the 3 digits represented? p is not zero.

pm
pm
pm
+pm
____
ap

To make A a single digit, P should be less than 3. Thus, P is either 1 or 2. Because there are 4 Ms to make P, P should be an even number. Thus, P must be 2. then 4Ps is 8. To make A a single digit, 4Ms must be less that 20. Because P is 2, M should be 3( 4*M = 4 *3 =12). A will be 9 (4*P +1 = 4*2 +1).

The answer is:

A+M+P=14. A= 9, P=2, M=3

yes what pdiddy in georgia said

To find the sum of the three digits represented, let's set up an equation based on the given information.

Since each time a letter appears, it represents the same digit, we can assign a variable to represent the unknown digit.

Let's say the digit is represented by the variable 'x'.

Using this information, we can rewrite the equation as follows:

10x + p
+ 10x + p
+ 10x + p
+ p
__________
100a + 10p

The equation represents the addition of three numbers with each number having the same digit 'x' and a single-digit 'p', resulting in a three-digit number 'ap'.

Now, we can solve this equation step-by-step:

1. Combine like terms:
10x + 10x + 10x + p + p + p + p = 30x + 4p

2. Set the left side equal to the right side:
30x + 4p = 100a + 10p

3. Simplify:
30x + 4p - 10p = 100a

Simplifying further:
30x - 6p = 100a

4. Divide both sides of the equation by 2 to simplify:
15x - 3p = 50a

This equation shows a relationship between 'x', 'p', and 'a'.

Now, we need additional information to determine the specific values of 'x', 'p', and 'a'.

To find the sum of the three digits represented by the letters, we can approach this problem step by step.

1. Assign variables to the three unknown digits: Let's call the digit represented by "p" as P, the digit represented by "m" as M, and the digit represented by "a" as A.

2. Analyze the column-wise addition:
- Column 1: Since "m" appears only once in the units place, it represents M. Therefore, the sum of the units places is M + M + M = 3M.
- Column 2: Since "p" appears four times (in the tens, hundreds, and thousands places), it represents P. So, the sum of the tens, hundreds, and thousands places is 4P.

3. Calculate the sum: We are given that the sum is "ap." From our analysis above, the sum of the tens, hundreds, and thousands places is 4P, and the sum of the units places is 3M. Therefore, the sum "ap" can be written as 4P + 3M.

So, the sum of the three digits represented by the letters is 4P + 3M.