self Maths Puzzle

Find a number consisting of 9 digits in which each of the digits from 1 to 9 appears only once. This number should satisfy the following requirements:
a. The number should be divisible by 9.
b. If the most right digit is removed, the remaining number should be divisible by 8.
c. If then again the most right digit is removed, the remaining number should be divisible by 7.
d. etc. until the last remaining number of one digit which should be divisible by 1.

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self Other Question

how 22 horses can be tied equally in 7 sticks?

If a and b are positive integers, and x=2×3×7×a , and y=2×2×8×b , and the values of both x and y lie between 120 and 130 (not including the two), then a–b?