# Four-digit numbers

Find four-digit numbers where all the digits are different. For numbers, the sum of the third and fourth digits is twice the sum of the first two digits, and the sum of the first and fourth digits is equal to the sum of the second and third digits. The digit 0 must not be in the first position of the number. How many are there?

### Correct answer:

#### You need to know the following knowledge to solve this word math problem:

## Related math problems and questions:

- Symmetry

Eva loves symmetry in shapes and numbers. Yesterday she invented a completely new kind of symmetry - divisible symmetry. She wrote all five-digit numbers with different digits with the following property: The first digit is divisible by 1, the second by 2 - Phone number

Ivan's phone number ends with a four-digit number: When we subtract the first from the fourth digit of this four-digit number, we get the same number as when we subtract the second from the third digit. If we write the four-digit number from the back and - Numbers 24281

Of the four numbers, the second is five larger than the first, the third two smaller than the first, and the fourth is twice larger than the first. Find these numbers if their sum is 38. - Three digits number 2

Find the number of all three-digit positive integers that can be put together from digits 1,2,3,4 and which are subject to the same time has the following conditions: on one position is one of the numbers 1,3,4, on the place of hundreds 4 or 2. - Digits

How many odd four-digit numbers can we create from digits: 0, 3, 5, 6, and 7? (a) the figures may be repeated (b) the digits may not be repeated - Three-digit 7248

Find all three-digit numbers n with three different non-zero digits divisible by the sum of all three two-digit numbers we get when we delete one digit in the original number. - 4 digit number

I am a four-digit number. My thousand period has a first digit which is thrice the second digit, and the second digit is two more than the third digit. All the rest of the digits are zeros. What number am I? - Permutations

How many 4-digit numbers can be composed of numbers 1,2,3,4,5,6,7 if: and the digits must not be repeated in the number b, the number should be divisible by five, and the numbers must not be repeated c, digits can be repeated - Amazing number

An amazing number is a name for such an even number, the decomposition product of prime numbers has exactly three, not necessarily different factors, and the sum of all its divisors is equal to twice that number. Find all the amazing numbers. - Determine 2250

The day number is the serial number of the day in the relevant month (i.e., the number on 5 August 2016 is 5). The digit sum of the day is the sum of the values of all digits on the date of that day (i.e., the digit sum on 5 August 2016 is 5 + 8 + 2 + 0 - Percentage 67364

Create all four-digit numbers in which the digits 0, 2, 5, and 9 do not repeat. A) How many such numbers are there? You solve using a tree diagram. B) What percentage of them are even? - Five-digit

Find all five-digit numbers that can be created from number 12345 so that the numbers are not repeated and then numbers with repeated digits. Give the calculation. - Phone numbers

How many 6-digit telephone numbers can be compiled from the digits 0,1,2,..,8,9 that no digit is repeated? - Interested 7090

We call a natural number N bombastic if it contains no zero in its notation and if no smaller natural number has the same product of digits as the number N. Charles first became interested in bombastic prime numbers and claimed that there were not many of - Three-digit 4698

The five cards with the numbers 1, 2, 3, 4, and 5 put together all three-digit odd numbers. How many are there? - A five-digit

A five-digit odd number has the sum of all digits (digits) five and contains two zeros. If we move each digit in the number one place to the left and move the first digit to the last place, we get a number 20,988 smaller. Find this unknown five-digit numb - Four numbers

The first number is 50% second. The second number is 40% third. The third number is 20% of the fourth. The sum is 396. What are the numbers?