SOLUTION: A number has 3 digits. If you subtract 7 from it, the result is divisible by 7. If you subtract 8 from it, the result is divisible by 8, and if you subtract 9, the result is divisi

Algebra ->  Divisibility and Prime Numbers -> SOLUTION: A number has 3 digits. If you subtract 7 from it, the result is divisible by 7. If you subtract 8 from it, the result is divisible by 8, and if you subtract 9, the result is divisi      Log On


   

Question 252786: A number has 3 digits. If you subtract 7 from it, the result is divisible by 7. If you subtract 8 from it, the result is divisible by 8, and if you subtract 9, the result is divisible by 9. What is the number?
Answer by palanisamy(496) About Me  (Show Source):
You can put this solution on YOUR website!
Given, a number has 3 digits. If you subtract 7 from it, the result is divisible by 7. If you subtract 8 from it, the result is divisible by 8, and if you subtract 9, the result is divisible by 9.
It means the given number is divisible by 7,8 and 9
Therefore the required number = 7*8*9
= 504