Integer equation - practice problems - page 2 of 10
Number of problems found: 186
- Positive integer integral
How many different sets of a positive integer in the form (x, y, z) satisfy the equation xyz=1400? - Equations: 80499
In the field of real numbers, solve the system of equations: 2x + ⌊y⌋ = 2022, 3y + ⌊2x⌋ = 2023. (⌊a⌋ denotes the (lower) integer part of the real number a, i.e., the largest integer not greater than a., E.g., ⌊1.9⌋ = 1 and ⌊−1.1⌋ = −2.) - Parakeets 80471
Mr. Spacek keeps birds. It has more than 50 and less than 100. Parakeets make up a ninth and canaries a quarter of the total. How many birds did he keep? - Arranged 80453
There are 390 trees arranged in rows in the orchard. How many rows are there if each row has the same number of trees greater than 30 and less than 40? - Expressed 79474
The length of the cube's edge in cm is expressed as a natural number. Its volume is greater than 100 and less than 200. Calculate the surface area of the cube. - Smallest 79434
Find the smallest natural x such that 2x is the square and 3x is the third power of a natural number. - Completely 79274
Kitchen cabinets are sold in widths of 80 cm, 60 cm, and 40 cm. Which assembly can we choose if we have a wall 3.5 m long and we want to completely fill it with an assembly that also includes a dishwasher, the width of which is 60 cm, and the stove is 50
- Fifteen 5 Fifteen more than five times a number equals the difference between -57 and three times the number. Find this integer number.
- Three flocks
Flocks of birds pass by, and one bird on a tree asks them, how many of you? And they respond, we are so plenty. The second flock of birds again passes by and asks the bird on a tree, how many of you? The response is we are one-half (1/2) of the first floc - Cryptogram 73784
Solve the cryptogram (equation with letters, where the letter is one digit) Fot Bal ---- Cvik - Equation: 72584
Find the solution of the equation: 2x: 8 = 3 ÷ 4, where x is an integer. - Rectangles 70304
How many rectangles with side lengths expressed in natural numbers have an area of 96 cm²? - Number 69614
The house has two floors. Men and women live on each floor in such a number that their ratio is 3:2 on each floor. Five more people live on the second floor than on the first floor. How many women live on the second floor? - The number 5
The number of hours per week the television is turned on is determined for each family in a sample. The mean of the data is 35 hours, and the median is 31.2 hours. Twenty-four families in the sample turned on the television for 20 hours or less for the we - Circumference 66964
We have to construct a rectangle with a circumference of 30 decimetres. The rectangle has sides of whole decimetres. How many different rectangles can we make?
- Conditions 66544
I have a box that contains white, milk, and dark chocolate candies. The ratio of white to milk candies is 3:4. The ratio of white to dark candies is 4:3. The least amount of candies in the box if the conditions of the ratio of candies are met. - Prepared 66494
Benches were prepared around the fire. When seven tourists sit on them, one tourist will sit alone on the last bench. When six of them all sat down, one had to stand. How many tourists were at the campfire if we know there were less than 100, and how many - Increased 64324
The number of books in the city library increased by 0.2% in 2008 and 0.6% in 2009. At the same time, the total number of books remained less than 300,000. How many books were added to the city library in 2009? - An integer
An integer is 17 more than five times another. If the product of the two integers is -6, then find the integers. - Aquaman
Aquaman Kebule shopped at Captain Nemo's fishmonger, where the prices of all goods were listed in whole scales. If Kebule bought 2 crayfish, 3 clams, and 1 pike, he would pay 49 scales. If he bought 5 more crayfish, 11 clams, and 1 pike, he would pay a to
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