Question

There are two trees A and B,each tree has a amount of bird.If a bird from A goes to B then both trees has equal amount of bird,and if a bird from B travels to A then the amount of bird in A will be double of B.Find no of birds in each tree?​

Answer 1

Answer:

Birds on second tree=y

x-1=y+1

x-y=2 x=y+2

x+1=2(y-1)

x+1=2y-2

x-2y=-3

y+2-2y=-3

-y=-5

y=5

x=7

First tree had 7 birds

Second tree had 5 birds

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Answer 2

Let the no. of birds in trees A and B be a and b respectively.

Given that both trees will have equal number of birds if a bird from A goes to B. So,

a - 1 = b + 1

b = a - 2 → (1)

And given that the no. of birds in A will be double that of B if a bird from B goes to A. Then,

a + 1 = 2(b - 1)

But from (1),

a + 1 = 2(a - 2 - 1)

a + 1 = 2(a - 3)

a + 1 = 2a - 6

a = 7

Then,

b = 7 - 2

b = 5