Quadratic equation + natural numbers - practice problems
Number of problems found: 28
- Difference 7159
The product of two natural numbers is 323, and their difference is 2. Determine the numbers. - Consecutive 6402
The product of two consecutive natural numbers is 46 less than the product of the other two consecutive natural numbers in a row. Identify unknown numbers. - Sequence
The arithmetic sequence is given: Sn=2304, d=2, an=95 Calculate a1 and n. - Variations 26791
If the number of elements increases by two, the number of variations of the second class of these elements created by 38 increases. What is the original number of elements? - Solve: 6632
For n ϵ N solve: 100 = (0.01n)² - Variations 70724
If we increase the number of elements by 2, the number of variations of the second class without repetition increases by 22. How many elements do we have initially? - The sum
The sum of the squares of two immediately following natural numbers is 1201. Find these numbers. - How many
How many different rectangles with integer side lengths have an area S = 60 cm²? - 1 page
One page is torn from the book. The sum of the page numbers of all the remaining pages is 15,000. What numbers did the pages have on the page that was torn from the book? - Tournament 61544
In an amateur chess tournament, everyone plays with everyone. There are a total of 171 chess games on the program. How many players take part in the match? - Pagans
Jano and Michael ate pagans. Jano ate three more than Michael. The product of their counts (numbers) is 180. How many pagans did each of them eat? - Find two
Find two consecutive natural numbers whose product is one larger than their sum. Searched numbers are expressed by a fraction whose numerator is the difference between these numbers, and the denominator is their sum. - Four integers
Find four consecutive integers so that the product of the first two is 70 times smaller than the product of the next two. - Euler problem
Someone buys 300 tolars towels. If it were for the same money of 5 more towels, it would be 5 tolars cheaper each. How many were towels? - Tourists
Tourists hire a guide. Everyone will pay the same amount. If there are two fewer of them, they will pay 14 crowns more, and if there are three more, they will pay 14 crowns less. How many tourists are there and how much have the guides paid? - Digit sum
The digit sum of the two-digit number is nine. When we turn figures and multiply by the original two-digit number, we get 2430. What is the original two-digit number? - Rectangle
The perimeter of the rectangle is 22 cm, and the area is 30 cm². Determine its dimensions if integers express the length of the sides of the rectangle in centimeters. - Grandfather's 2876
To the question: How old are your two grandchildren? The grandfather answers: if I add their sum to the product of the numbers that determine their age, I get 14. How many years have grandfather's grandchildren? Think only for years. - Expression 4451
Find the largest natural number d that has that property for any natural number the number n is the value of the expression V (n) = n ^ 4 + 11n²−12 is divisible by d. - Lookout tower
How high is the lookout tower? If each step was 3 cm lower, 60 more were on the lookout tower. If it were 3 cm higher again, it would be 40 less than it is now.
Do you have homework that you need help solving? Ask a question, and we will try to solve it.