Puzzle on Hen and Egg

Solution of the Puzzle

Let us look at the solution for the given puzzle. According to the given question,

1.5 hens are laying 1.5 eggs in 1.5 days. Considering this we can form the given equation :

1\frac{1}{2} \: Hens \times 1\frac{1}{2} \: Days \times r = 1\frac{1}{2} \: Eggs [ here, r= Rate]

= \frac{3}{2} \: Hens \times \frac{3}{2} \: Days \times r = \frac{3}{2} \: Eggs

Now, multiplying both the sides by \frac{2}{3}

= 1 \: Hen \times \frac{3}{2} \: Days \times r = 1 \: Eggs

Now on solving the equation and multiplying it by \frac{2}{3} , we get :- r = \frac{2}{3} of an egg per day.

Thus, one hen lays \frac{2}{3} of an egg in one day.

Now as we know that the rate of laying eggs per day. So it is easier to find out the second objective. So the condition we are given is eggs = 12, days = 6, and let the hens be H.