Integer equation + reason - practice problems - page 4 of 6
Number of problems found: 115
- Mathematics 7806
Janko has committed that his average grade in mathematics will be exactly 2 at the end of the semester. However, so far, he has received grades 3 and 4. He knows that by the end of the year, he will receive four more grades from the tests. What are the wo - 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? - 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
- 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?
- Diofant equation
250x + 120y = 5640 - Solve 2
Solve integer equation: a +b+c =30 a, b, c = can be 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 fives, 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, there will be two candies and eight empty boxes 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 - School
Less than 500 pupils attend school. When it is sorted into pairs, one pupil remains. Similarly, one remains when sorted into 3, 4, 5, and 6 members teams. Sorted to seven members teams, no left behind. How many pupils are attending this school? - Circumference 6382
Jan bought a large rectangle plot with a circumference of 90 meters. He divided it into three rectangular plots. The shorter side has all three plots of the same length. Their longer sides are three consecutive natural numbers. Find out each plot's dimens - Together
If eight men, ten women, and 16 children collect ₹1024 in 4 days, how many days will be required for six men, five women, and four boys to collect ₹768? (₹ is Indian Rupee)
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