Brain Teasers
Threes and Fours
Which is the smallest natural number that satisfies the following conditions:
(1) Its digits consist of, and only of 3's and 4's.
(2) Its digital sum is divisible by 3 and 4.
(3) The number itself is divisible by 3 and 4.
(1) Its digits consist of, and only of 3's and 4's.
(2) Its digital sum is divisible by 3 and 4.
(3) The number itself is divisible by 3 and 4.
Hint
It's very easy.Answer
From conditions 1 and 2, we know that we need at least 3 4's and 4 3's.The smallest number they make is 3333444, which is divisible by 3 and 4.
Therefore, the number we're looking for is 3333444.
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Comments
Your question is slightly misleading, you have stated whether it is mandatory that the digits must include both a 3 and a 4.
Without this restriction, 444 is the smallest, then 444,444, and then 3,333,444.
Without this restriction, 444 is the smallest, then 444,444, and then 3,333,444.
I thought 444 because there was no restriction saying that it had to have at least one three and at least one 4.
sorry ........not to good at these....... But GREAT TEASER
I agree. There is nothing in the restrictions that disqualifies 444.
Also, "It's very easy" is not a hint. If that's all your going to put as the hint, don't add a hint.
Also, "It's very easy" is not a hint. If that's all your going to put as the hint, don't add a hint.
Alright, you may try to correct it.
Nah, I think it's stated well enough. If you didn't get it, live with it.
Of course it says that it has to contain 3's and 4's. How can you say that the number 444 consists of 3's and 4's. It does not say that you can construct the number choosing only from the digits 3 and 4. It says clearly that it contains 3's AND 4's. Good puzzle!
I missed this one too but it was still fun. Thanks for your math teaser.
what I was going to say has already been said so good teaser anyways
Pretty easy. I got the answer in a few seconds, but then took about 20 more seconds to convince myself it was correct.
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