Certain number of birds are sitting on two trees A and B. Birds sitting on tree A, tells to the birds sitting on tree B, that if two birds from tree B shift to the tree A, then we are equal in number. However, the birds sitting on tree B, tell those sitting on A, that if two birds from your side (tree A) shift to our side (tree B), then we become double than you (tree A). How many birds are sitting on the two trees A and B respectively?
Step-by-step Solution:
1. Logical Reasoning Problem
Step 1: Set up the equations
Let A be the number of birds on tree A and B be the number of birds on tree B.
From the first statement: "if two birds from tree B shift to tree A, then we are equal in number"
From the second statement: "if two birds from tree A shift to tree B, then we become double than you"
Step 2: Solve the system of equations
Substitute Equation 1 into Equation 2:
Step 3: Find the value of A
Substitute B = 14 into Equation 1:
Answer: The number of birds on trees A and B are 10 and 14 respectively. The correct option is (B) 10, 14.