Some birds are sitting on two trees A and B. The birds on tree A say that if 2 birds from tree B shift to tree A, the two trees will be equal in number. The birds on tree B say that if 2 birds from tree A shift to tree B, then tree B will have double the number on tree A. How many birds are sitting on trees A and B respectively?
A8, 12
B10, 14 ✓ Correct
C14, 10
D5, 7
Correct answer: (B) 10, 14
Explanation
Tree A has 10 birds and tree B has 14.
Let A and B be the counts; 2 from B to A gives A + 2 = B - 2, so B = A + 4.
2 from A to B gives B + 2 = 2(A - 2), so B = 2A - 6.
Setting A + 4 = 2A - 6 gives A = 10.
Then B = 10 + 4 = 14.
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