less than 300 more than 200 sum of digits equals 9 multiple of 5

Question

more than 200 less than 300 sum of digits 9 multiple of 5 evenly divided by 9 and odd number

Answer 1

Looking for x with the following properties: 200<x<300; x=5*9*(2n+1), where n>0 is an integer. Multiples of 45 between 200 and 300: 225 and 270. The only number satisfying the requirements is 225=9*25 (n=12):

1. Between 200 and 300
2. Sum of digits=9 (multiples of 9 have digits summing to 9 or a multiple of 9)
3. Multiple of 5
4. Evenly divided by 9 and an odd number