Replace the star(*) by the smallest number, so that 871(*)45 is divisible by 9
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Replace the star(*) by the smallest number, so that 871(*)45 is divisible by 9
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Step-by-step explanation:
Given :-
The number is 871(*)45
To find:-
Replace the star(*) by the smallest number, so that 871(*)45 is divisible by 9
Solution :-
Given number =871(*)45
Let the digit in the place of * =X
then the number =871X45
If the number is divisible by 9 then
The sum of digits is also divisible by 9
The sum of digits =8+7+1+X+4+5
=>The sum of digits = 25+X
It is divisible by 9 , so the multiple of 9 after 25 =27
=>25+X=27
=>X=27-25
=>X=2
The smallest digit in the * place = 2
Answer:-
The required smallest number = 2
Used formula:-
Divisibility rule by 9:-
"The sum of all digits in a number is divisible by 9 then the number is also divisible by 9".