During a consultation a medical assistant that half of his patients have diarrhea, 7 have constipation and only two have constipation and diarrhea, if each of the patient has at least one of the two types of illness, how many did he observed ?

Answer 1

Let's call the number of patients who have diarrhea "D" and the number of patients who have constipation "C". We know that:

D = 1/2 (total number of patients)

C = 7

2 patients have both constipation and diarrhea.

We also know that each patient has at least one of the two types of illness, so:

Total number of patients = D + C - 2

= 1/2 (total number of patients) + 7 - 2 (since we are subtracting the 2 patients who have both constipation and diarrhea)

Simplifying, we can multiply both sides by 2:

Total number of patients = total number of patients + 12

Subtracting "total number of patients" from both sides, we get:

12 = 0

This is a contradiction, so there must be no solution to this problem. Check to ensure that the numbers are correct and there isn't a mistake in the question.