Best Answer

Numbers divisible by 9 have the sum of their digits equal to 9 or a multiple of 9.

A number divisible by 2 is an even number.

If a 3 digit number is 42n then n can only be 3 if the number is divisible by 9 and 423 is not within the specified range.

If a 3 digit number is 43n then n must be 2 for it to be divisible by 9.. The number is thus 432 and this is even and so divisible by 2.

If the 3 digit number is 44n then n must be 1 and 441 is odd and not divisible by 2.

The only valid solution is 432.

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Q: Which number is divisible by 2 and 9 that is in between 424 and 449?

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The only such number which satisfies this criteria is 432.

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449