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All numbers that are divisible by 5 and 9 are multiples of their lcm which is 45.
So the question boils down to which multiples of 45 are between 1000 & 2000.
1000 ÷ 45 = 222/9
2000 ÷ 45 = 444/9
Thus the solution is the multiples of 45 from 23 to 44 which are:
1035, 1080, 1125, 1170, 1215, 1260, 1305, 1350, 1395, 1440, 1485, 1530, 1575, 1620, 1665, 1710, 1755, 1800, 1845, 1890, 1935, 1980
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