1.

If 231325x is divisible by 9, then find the least value of x.​

Answer»

<klux>GIVEN</klux> \: <klux>NUMBER</klux> \: 231325\pink {x}

\underline { \blue { Divisibility \: rule \:of \:9 :}}

The given number is divisible by 9, only if the sum of the DIGITS is multiple of 9 .

Here , Sum \:of \:the \:digits \: of \:231325\pink {x} \\= 2+3+1+3+2+5+\pink {x} \\= 16 + x

Now, 16 + \pink {x} = 18 \\(Least \:multiple \:of \:9 )

\implies \pink {x}= 18 - 16

\implies \pink {x} = 2

Therefore.,

\red { Least \: value \: \pink {x} } \green { = 2 }

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