math
posted by Janice on .
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