The of the digits of a 3 digit number is subtracted from the number- The resulting number is alwaysdivisible by 6not divisible by 6divisible by 9not divisible by 9

Question

Toppr Admin · Accepted Answer

Let three digit number be 100-10y-z-x2234-100x-10y-z-x2212-x-y-z-99x-9y-9-11x-y-which is already divided by 9-

The sum of the digits of a 3 digit number is subtracted from the number. The resulting number is always
divisible by 6
not divisible by 6
divisible by 9
not divisible by 9

Let three digit number be $100 + 10 y + z$
$∴ (100 x + 10 y + z) - (x + y + z) = 99 x + 9 y = 9 (11 x + y)$
which is already divided by 9.

The sum of the digits of a 3 digit number is subtracted from the number. The resulting number is alwaysdivisible by 6not divisible by 6divisible by 9not divisible by 9

Let three digit number be 100+10y+z∴(100x+10y+z)−(x+y+z)=99x+9y=9(11x+y)which is already divided by 9.

The sum of the digits of a 3 digit number is subtracted from the number. The resulting number is always
divisible by 6
not divisible by 6
divisible by 9
not divisible by 9

Let three digit number be $100 + 10 y + z$
$∴ (100 x + 10 y + z) - (x + y + z) = 99 x + 9 y = 9 (11 x + y)$
which is already divided by 9.