Question

If 467x8 is divisible by 3, find the value of x .

Answer 1

$Given \: 467\red{x}8 \:is \:divisible \: by \: 3 .$

$\underline{\pink{ Divisibility \: by \: 3 }}$

The given number is divisible by 3 ,only if the sum of the digits is multiple of 3 is divisible by 3.

$Here , Sum \: of \: the \: digits \: in \: the$

$number = 4+ 6+ 7+ \red{x}+8$

$= 25 + \red{x}$

$\therefore x \: should \: be \: 2\: or \: 5\:or \:8$

$\red{ Value \: of \: x\:is } \green { \: 2\: or \: 5 \:or 8}$

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Answer 2

➡  467x8 is divisble by 3

➡  To find value of x:= ???

➡  Divisibility rule for 3:

➡  Sum of all digits =

Given numbers  = 4 , 6 , 7 , 8

Adding them = 4+6+7+8

                      = 25+x

➡We know that a number is divisible by 6 only when it is divisible by both 2 and 3.

This is the test of divisibility for 6.

To check whether the number is divisible by 2 we always check if the ones place of the given number is odd or even.

If it is even then it is divisible by 2 else it is not.Thus is test of divisibility for 2.

We can see that the ones digit is 8 in the given number.

As it is even the number is divisible by 2.

Hence, The x should can be 2 , 5 or  8........