Z9-I-4
Kate thought a five-digit integer. She wrote the sum of this number and its half at the first line to the workbook. On the second line wrote a total of this number and its one fifth. On the third row, she wrote a sum of this number and its one nines. Finally, all three lines sum and result wrote on the fourth line. Then she was amazing found that on the third line has a written cube of a certain natural number.
Determine the smallest number Kate can think in the beginning.
Determine the smallest number Kate can think in the beginning.
Correct answer:
Tips for related online calculators
Do you solve Diofant problems and looking for a calculator of Diofant integer equations?
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 - Five number code
I have a 5 digit code on the bag that I forgot. All I remember is that it was a symmetric number and the sum of its digits was 22. Write all the numbers that can be a code. . - Circumference 9811
Kristýna chose a certain odd natural number divisible by three. Jakub and David then examined triangles with a circumference in millimeters equal to the number selected by Kristýna and whose sides have lengths in millimeters expressed by different integer - PIN code
PIN on Michael credit card is a four-digit number. Michael told this to his friend: • It is a prime number - that is, a number greater than 1, which is only divisible by number one and by itself. • The first digit is larger than the second. • The second d - Number unknown
Adela thought the two-digit number, she added it to its ten times and got 407. What number does she think? - 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
- 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 di - Characteristics 2104
Betka thought of a natural number with different digits and wrote it on the board. Podeň wrote the digits of the original number on the back and thus got a new number. By adding these two numbers, he got a number that had the same number of digits as the - Readers
Readers borrowed a total of 220 books in the library during the first three days. On the second day, readers borrowed half as many books as the first day and at the same time 20 fewer books than the third day. Depending on the quantity x, express the numb - Unknown number
Unknown number is divisible by exactly three different primes. When we compare these primes in ascending order, the following applies: • Difference first and second prime number is half the difference between the third and second prime numbers. • The prod - Bus lines
At 5.00 in the morning, four buses left the terminal at the same time. The first bus has an interval of 15 minutes, the second 20 minutes, the third 25 minutes, and the fourth 45 minutes. How many minutes will all four buses leave the terminal at the same - Salat
Grandmother planted salad. In each row, he planted 13 seedlings. After a morning frost, many seedlings died. In the first row, five seedlings died. In the second row, two seedlings died more than 1st row. In the third row, three seedlings died less than 1 - Single-digit 7302
There were four different digits on the four cards, one of which was zero. Vojta composed the largest four-digit number from the cards, and Martin the smallest four-digit number. Adam wrote the difference between Vojtov's and Martin's numbers on the board - Positive integers
Several positive integers are written on the paper. Michaella only remembered that each number was half the sum of all the other numbers. How many numbers could be written on paper? - Self-counting machine
The self-counting machine works exactly like a calculator. The innkeeper wanted to add several three-digit natural numbers on his own. On the first attempt, he got the result in 2224. To check, he added these numbers again and he got 2198. Therefore, he a - Mathematicians 11761
The top five mathematicians in the class took on the help of the teacher in calculating the average grade from the paper. They dictated the following results: Mischa: "I came up with 3.30. " Dasha: "That's weird, because it worked out exactly 3.45. " Jana - Young mathematician
One young mathematician was bored again. He found that the average age of people in the room where the seminar equals to its count. Then his 29-year-old brother entered this room. Even then, the average age of all present was the same as the count of peop
