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Supposing the number of pupils in School A is A and the number of pupils in School B is B.
30% of the pupils in School A is 45 more than 40% of the pupils in School B means
0.3A = 0.4B + 45 ------ (1)
If 10% of the pupils in School A leaves to join School B, there will be 200 more pupils in School A than School B means
0.9A = B + 0.1A + 200 which can be rewritten
0.8A = B + 200 ------- (2)
(1) can be rewritten 3A = 4B + 450. Multiply by 5 gives 15A = 20B + 2250
(2) can be rewritten 8A = 10B + 2000. Multiply by 2 gives 16A = 20B + 4000
Solving gives A = 1750; B = 1200
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