if x5y4z is divisible by 9,then the least value of(x+y+z)is a. 3 b.2 c.9 d.0

Dear Student,

Please find below the solution to the asked query:

Given  : Number x5y4z is divisible by 9,

And we know divisibility rule for 9 = Sum the digits. If the result is divisible by 9, then the original number is divisible by 9.

So

x  + 5 + + 4 + z  =  9 ( M )   , Here M is any positive integer .

xy  +  z  + 9 =  9 ( M )

x  + y  + z  = 9 ( M ) - 9

For least value here we take M  =  1  , So

We get at M  =  1

x  +  y  +  z  = 9 ( 1 ) - 9 =  9 - 9 = 0

So ,

Option ( D )                                                              ( Ans )


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