The sum of the digits of a 3-digit number is subtracted from the number. The resulting number is always :
A. Not divisible by 9
B. Divisible by 9
C. Not divisible by 6
D. Divisible by 6
Answer: Option B
Solution (By Examveda Team)
Let the hundreds, tens and unit digits be x, y and z respectively.Then,
(100x + 10y + z) - (x + y + z)
= 99x + 9y
= 9 (11x + y)
So, the resulting number is divisible by 9
This Question Belongs to Arithmetic Ability >> Number System
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