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In the 10 digit number 7,346,285,5_6 the tens digit is missing.If the 10 digit number is a multiple of both 3 and 4 , what is the missing digit PLEASE EXPLAIN

2 Answers

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Sure, let's solve this step by step.

To find the missing digit we need to know that:
1. If a number is divisible by 3, the sum of all of its digits is divisible by 3.
2. If a number is divisible by 4, its last two digits form a number that is also divisible by 4.

Firstly, find the sum of the given digits in the number, which are [7, 3, 4, 6, 2, 8, 5, 5, 6]. The sum of these digits is 46.

Next, we want to find the digit that, when added to this sum of 46, results in a number that is divisible by 3. Start by checking with the digit 0, if adding 0 to the sum yields a number divisible by 3. If not, increment the digit and check again. Continue doing this until we find a digit that makes the sum divisible by 3.

In this case, the digit we are looking for is 5 because when you add 5 to 46 you get 51, which is divisible by 3.

Now, we also need to ensure the last two digits (the missing digit and 6) when put together form a number that is divisible by 4.

The number '56' made by our missing digit 5 and the given digit 6 after the underscore is divisible by 4.

Hence, the missing digit is 5.

User Gopal Samant
by
7.9k points
4 votes

Answer:

The missing digit is 3

Explanation:

3 6 9 12 15 18 21 24 27 30 33 36

4 8 12 16 20 24 28 36

so 36 would be it because 6 is in the ones place

User Cgp
by
7.8k points

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