Question

9213x5 is a multiple of 9 find the value of x​

Answer 1

`\boxed{\textsf{The value of x is \textbf{7}.}}`

Explanation:

Given that 9213x5 is a multiple of 9 and we need to find out the value of x .So the rule for divisibility for 9 is :-

Test for Divisibility by 9 :-

A number is divisible by 9 if the sum of the digits is divisible by 9 .

Here the sum of the digits is :-

`\sf\implies Sum_((digits))= 9+2+1+3+x+5=\pink{20+x}`

Now here to make 20 +x divisible by 9 is should be equal to 27 since 27 is the nearest smallest multiple of 9 .

`\sf\implies 20 + x = 27 \\\\\sf\implies x = 27-20 \\\\\sf\implies\boxed{\pink{\sf x = 7 }}`