# Puzzle 10 | (A Man with Medical Condition and 2 Pills)

• Difficulty Level : Basic
• Last Updated : 14 Jun, 2022

Puzzle: A man has a medical condition that requires him to take two kinds of pills, call them A and B. The man must take exactly one A pill and exactly one B pill each day, or he will die. The pills are taken by first dissolving them in water.

The man has a jar of A pills and a jar of B pills. One day, as he is about to take his pills, he takes out one A pill from the A jar and puts it in a glass of water. Then he accidentally takes out two B pills from the B jar and puts them in the water. Now, he is in the situation of having a glass of water with three dissolved pills, one A pill and two B pills. Unfortunately, the pills are very expensive, so the thought of throwing out the water with the 3 pills and starting over is out of the question. How should the man proceed in order to get the right quantity of A and B while not wasting any pills?

Solution: Follow this step-wise approach to help the man take his medicine in a correct way.

1. Step 1: Add one more A pill to the glass and let it dissolve.
2. Step 2: Take half of the water today and half tomorrow.

It works under the following assumptions.

• The dissolved Pills can be used the next day.
• The man has to take pills at least for one more day.

Alternate Solution:

1. The person should add pill A in the glass of water.
2. Now, the person can boil the solution in a jar and water will get evaporated. Thus, the residue of the medicine will be left.
3. Now he can take half of the residue, which will be equivalent to a single day dosage (1 Pill A + 1 Pill B) and take the rest tomorrow.

It works under the following assumptions:

• The medicine does not evaporate with water.