what least number should be subtracted from 1000 so that 30 divides the difference exactly
Answers
When we subtracted 10 from thousand ,we get 990.
990 divided by 30 is 33.
The least number that should be subtracted from 1000 so that 30 divides the difference exactly is 10
Step-by-step explanation:
If 1000 is divisible by 30 then it must be divisible by 3 and 10
We know that a number is divisible by 3 when the sum of the digits is divisible by 3
And a number is divisible by 10 if it ends with 0
1000 is divisible by 10 but not divisible by 3
the next number less than 1000, divisible by 10 is 990
990 is also divisible by 3
Therefore, number 990 is divisible by both 10 and 3
Thus, the number 990 is divisible by 30
Therefore, the least number that should be subtracted from 1000 so that 30 divides the difference is 10
Hope this answer is helpful.
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