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Let g= no green tiles and r = no of red tiles

At beginning r + g = 15

At end r = g - 2

Add back the 5 red tiles and then r = g -2 + 5 = g - 3

Substituting g-3 for r in original then g-3 + g = 15

2g = 12

g= 6

r= 15 - g = 15 - 6 = 9

No of red tiles = 9; green tiles = 6

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