A number N is a positive three-digit number. | vedclass

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(C) Let the three-digit number $N$ be represented as $100x + 10z + y$,where $x$ is the digit in the hundred's place,$z$ is the digit in the ten's plac

Vedclass · Accepted Answer

$10$

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(C) Let the three-digit number $N$ be represented as $100x + 10z + y$,where $x$ is the digit in the hundred's place,$z$ is the digit in the ten's place,and $y$ is the digit in the unit's place.Given the expression $N - 100x - y$,we substitute the value of $N$:$N - 100x - y = (100x + 10z + y) - 100x - y$Simplifying the expression:$= 100x - 100x + 10z + y - y$$= 10z$Since the result is $10z$,the expression is always divisible by $10$.

$A$ number $N$ is a positive three-digit number. If $x$ is in its hundred's place and $y$ is in its unit's place,then the number $N - 100x - y$ is always divisible by

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