Question

find the three digit greatest number that is divisible by both 2 and 3

Answer 1

$\boxed{hello}$

Greatest Three digit number divisible by both 2 and 3 = ?

Now,
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A number which is divisible by both 2 & 3 , is divisible by (2 × 3) = 6

So,

Greatest Three digit number = 999

Dividing 999 by 6 , we get

$6) \: 999 \: (166 \\ - \: 6 \\ - - - - - \\ \: \: \: \: 39 \\ - 36 \\ - - - - \\ \: \: \: 39 \\ - 36 \\ - - - - - - - - \\ 3$

Remainder = 3

So, The greatest 3 digit number divisible by 2 & 3 both = (999 - 3) = 996

Answer 2

99x where x is unit place digit
if three digit no. is divisible by 2 as well as 3 therefore it is also divisible by 6
as 996 is divisible by both 2 & 3

so, x = 6

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