Math, asked by spoo42, 1 year ago

Replace * in the number 835*86 by the smallest number to make it divisible by 9.

Answers

Answered by hemanth2261
13
sum of the digits=8+3+5+*+8+6=30+*
if *=6
30+6=36 is divisible by 9

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Answered by qwwestham
2

The smallest number with which * can be replaced to make the number 835*86 divisible by 9, is 6.

Given,

The number:

835*86.

To find,

The smallest number with which * can be replaced to make the given number divisible by 9.

Solution,

It can be seen that the number given here is

835*86.

We need to replace the * with the smallest number so as to make the above number divisible by 9.

Now, from the divisibility rule of 9, we know that,

  • a number is divisible by 9 when the sum of all of the digits of this number is divisible by 9.

Here, for the given number, we can see that the sum of digits is

= 8 + 3 + 5 + * + 8 + 6

= 30 + *

30 + * needs to be a multiple of 9.

It can be observed that the number after 30 which is divisible by 9, is 36.

So, we can say,

30 + * = 36

⇒ * = 36 - 30

* = 6.

Therefore, the smallest number with which * can be replaced to make the number 835*86 divisible by 9, is 6.

#SPJ3

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