Question

Few birds are sitting on two trees A and B. If one bird from tree A moves to tree B then the ratio of

birds on Tree A : B will be 1:1. If one bird from tree B moves to tree A then the ratio of birds on Tree A :

B will be 2:1. How many birds are sitting on each tree?​

Answer 1

Answer:

Let the number of birds originally sitting on each tree be x and y.

Now, if a bird moves from tree A to B, then:

New number of birds on tree A = x - 1

New number of birds on tree B = y + 1

Given that the new ratio of birds is now 1 : 1 on A and B

Therefore x - 1 = y + 1

y = x - 2

If originally one bird had moved from tree B to A, then:

New number of birds on tree A = x + 1

New number of birds on tree B = y - 1

Given that the new ratio of birds is now 2 : 1 on A and B

Therefore x + 1 = 2(y - 1)

x + 1 = 2y - 2

2y = x + 3

Solving both equations simultaneously,

x = 7

y = 5

Therefore there are 7 birds on tree A and 5 birds on tree B.

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