Question

If 51m23 is divisible by 3 , then find all the possible values of m.​

Answer 1

Step-by-step explanation:

$\huge\underline\blue{Answer}$

we know that

a number is divisible by 3 then only

$\large\purple{\boxed{the\:sum\:all\:digits->is\:divisible\:by\:3}}$

$\implies{5+1+m+2+3}{is\:divisible\:by\:3}$

$\implies{11+m}{is\:divisible\:by\:3}$

Divide 11 by3

we get the dominant 2

Hence m=2

find nearest divisible to 3

11+1=12

hence m=1

so the most possible values of m=2 or 1

hope it Help you

Answer 2

Answer:

Step-by-step explanation:

If the sum of the digits of a number is divisible by 3, then the number is divisible by 3. For example, number 85203 is divisible by 3 because the sum of its digits 8+5+2+0+3=18 is divisible by 3.

Similarly, 5+1+m+2+3 should be divisible by 3.

= m+11 should be divisible by 3

Now possible values of m so that sum becomes a multiple of 3  are 1,4,7,10.

But m should be a one-digit number.

So possible values are 1,4,7

Hope this helps.....

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