Integer equation - practice problems - page 6 of 10
Number of problems found: 186
- There
There are two numbers on the screen - one in the blue and the other in the red box. In the beginning, both numbers are the same. With each beep, both numbers increase - by 1 in the blue field and by 3 in the red field. At one point, the number 49 appears - Two-digit 7607
The digit sum of a two-digit number is 11. After changing the order of the digits, I get a number 27, smaller than the intended number. What number do I think? - Consecutive 7550 The sum of four consecutive integers, five greater than the previous one, is 2. Find these numbers.
- The Hotel
The Holiday Hotel has the same number of rooms on each floor. Rooms are numbered with natural numerals sequentially from the first floor; no number is omitted, and each room has a different number. Three tourists arrived at the hotel. The first one was in - She encoded
Aunt Heda likes puzzles, but her memory is no longer working for her. She chose the 4-digit code on her mobile phone as follows: She encoded her name according to the order of the letters in the alphabet (A=1 B2 C3 D4 E5 F6 G7 H8 I9 ) inserted one multipl - Incorrectly 7484
Tomáš was given the task of solving 10 problems. He received 3 points for each correctly solved, and 4 points were deducted for each incorrectly solved. He scored a total of 9 points. How many tasks did he solve correctly, and how many incorrectly or not - Chocolate
I have a box of chocolate - white, milk, and dark. The ratio of white to milk with dark is 3:4. The ratio of white and milk to dark is 17:4. Calculate the ratio between white, milk, and dark chocolate.
- Year 2018
The product of the three positive numbers is 2018. What are the numbers? - Younger 7202
If Nina were nine times older and her mother was nine times younger, they would be 85 years old. So, Ninka is 85, and Mom is 85. - MO Z8-I-1 2018
Fero and David meet daily in the elevator. One morning, they found that if they multiply their current age, they get 238. If they did the same after four years, this product would be 378. Determine the sum of the current ages of Fero and David. - Age In 1960, my age was equal to the digits sum of the year of my birth. What is my age now?
- Positive 7040
Find all positive integers x and y for which: 1 / x + 1 / y = 1/4 - Integer
Find the integer whose distance on the numerical axis from number 1 is two times smaller than the distance from number 6. - Diofant equation
250x + 120y = 5640 - Solve 2
Solve integer equation: a +b+c =30 a, b, c = can be an odd natural number from this set (1,3,5,7,9,11,13,15)
- Animals
All without two animals are dogs, all without two are parrots, all without two are cats, and the others are chickens. How many animals of individual species does Ms. Novak take care of? - Digit sum
How many are three-digit numbers that have a digit sum of 6? - Assembled 6697
Ujo Vilém needs a board 665 cm long. Without which boards cannot such a board be assembled? Find all options. 256 cm 114 cm 204 cm 198 cm 47 cm 87 cm - Girls
The boys and girls in the class formed groups without the rest of the five, two girls and three boys. Six girls are missing to create mixed pairs (1 boy and one girl). How many girls are in the classroom? - Candy and boxes
We have some candy and empty boxes. When we put ten sweets in boxes, two candies and eight empty boxes will be left. When of eight, there will be six candies and three boxes left. How many candy and empty boxes are gone when we put nine sweets into a box?
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