Integer equation + integers - practice problems
Number of problems found: 36
- Three flocks
There are flocks of birds passes by and one bird on a tree ask them, how many all of you? And they response, we are so plenty, the second flocks of birds again passes by and ask by the bird on a tree, how many all of you, and response we are one half (1/2
- An integer
An integer is 17 more than five times another. If the product of the two integers is -6, then find the integers.
- The perimeter
The perimeter of the triangle is 24, and the sides are integers and form an arithmetic sequence. Specify the side sizes of this triangle.
- Chad buys
Chad buys peanuts in 2-pound bags. He repackages them into bags that hold 5/6 pound off peanuts. How many 2 pound bags of peanuts should Chad buy so that he can fill the 5/6-pound bags without having any peanuts left over?
- The theater
The Manila theater charged ticket prices: adults php500, students php250, and children below 12 is php100. The theater collected a total of php100,000.00 from an audience of 250 people. What is a possible audience composition regarding the numbers of adul
- Find x 2
Find x, y, and z such that x³+y³+z³=k, for each k from 1 to 100. Write down the number of solutions.
- Two integers
Two integers, a and b, have a product of 36. What is the least possible sum of a and b?
- 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
- Sufficient 9391
In Kocourkov, they use coins with only two values expressed in Kocourkov crowns by positive integers. With a sufficient number of such coins, it is possible to pay any integer amount greater than 53 cats crowns, accurately and without return. However, we
- Solutions 8481
For which integers x is the ratio (x + 11) / (x + 7) an integer? Find all solutions.
- 102—likewise 8205
The number 20 137 is "like" the number 73 102—likewise, the decimal numbers 41.9 and 9.14, or 31.08 and 80.13, like each other. Find two mutually exclusive numbers whose product is 357.435.
- Consecutive 7550
The sum of four consecutive integers, each of which is five greater than the previous one, is 2. Find these numbers.
- Year 2018
The product of the three positive numbers is 2018. What are the numbers?
- Positive 7040
Find all positive integers x and y for which: 1 / x + 1 / y = 1/4
Find the integer whose distance on the numerical axis from number 1 is two times smaller than the distance from number 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
- Candy and boxes
We have some candy and empty boxes. When we put candies in boxes of ten, there will be 2 candies and 8 empty boxes left. When of eight, there will be 6 candies and 3 boxes left. How many candy and empty boxes left when we put candies in boxes of nine?
Less than 500 pupils attend school. When it is sorted into pairs, one pupil remains. Similarly, when sorted into 3, 4, 5 and 6 members team one remains. Sorted to seven members teams, no left behind. How many pupils are attending this school?
If 8 men, 10 women, 16 children collects ₹1024 in 4 days, how many days will be required for 6 men, 5 women and 4 boys to collect ₹768? (₹ is Indian Rupee)
- Endless lego set
The endless lego set contains only 6, 9, and 20-kilogram blocks that can no longer be polished or broken. The workers took them to the gym and immediately started building different buildings. And, of course, they wrote down how much the building weighed.
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