Question

Replace the star(*) by the smallest number, so that 871(*)45 is divisible by 9​

Answer 1

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".