Five farmers have 7,9,11,13 & 14 apple trees respectively in their orchards. Last year each of them discovered that every tree in their own orchard yields exactly the same number of apples. Further, if the 3rd farmer gives one apple to the 1st and the 5th gives 3 to each of the 2nd & d 4th, they would all exactly have the same number of apples, what were the yields per tree in the orchards of the 3rd & 4th farmers ?

Let's denote the yield per tree for each farmer as a, b, c, d, and e for the 1st, 2nd, 3rd, 4th, and 5th farmer respectively.

From the problem, we know that:

7a = 9b + 3 (since the 5th farmer gives 3 apples to the 2nd farmer) 7a = 11c - 1 (since the 3rd farmer gives 1 apple to the 1st farmer) 7a = 13d + 3 (since the 5th farmer gives 3 apples to the 4th farmer) 7a = 14e

From these equations, we can see that 7a (the total number of apples for the 1st farmer) is equal in all cases.

So, we can set the equations equal to each other:

9b + 3 = 11c - 1 13d + 3 = 14e

Solving these equations will give us the yield per tree for the 3rd (c) and 4th (d) farmers.

9b + 3 = 11c - 1 --> 11c = 9b + 4 --> c = (9b + 4) / 11 13d + 3 = 14e --> d = (14e - 3) / 13

Without the specific numbers of apples each farmer initially had, we cannot find the exact values for c and d. However, the relationships between the yields per tree for each farmer are as above.