Integer equation - practice problems - page 3 of 10
Number of problems found: 186
- 11990 perimeter RT
A right triangle has integer side lengths and a perimeter of 11990. In addition, we know that one of its perpendiculars has a prime number length. Find its length. - Three dices
What is the probability that the sum of points 14 will be a roll of three dice (B, M, Z)? - Squares
Cut out the square with the integer side from the square with the integer side so that the residual area is 100. What is the longest possible side of the larger square? - Purchased
Milan shopped in a store where the prices of all goods were listed in whole €. If Milan bought 2 milk, 3 glasses, and 1 pack of sweets, he would pay €49. If he bought 5 more milks, 11 glasses, and 1 pack of sweets, he would pay a total of €154. How much € - Four-digit 55481
Find all four-digit abcd numbers to which abcd = 20. ab + 16. cd, where ab and cd are double digits numbers from digits a, b, c, and d. - 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. - The temperature 14
The temperature is 12°C lower than 4 hours ago. a. What is the average temperature change per hour? b. Write an integer equation for the situation.
- Two numbers
One number is 79 more than the other. If we divide the larger number by the smaller one, we get the quotient five and the remainder 11. Determine both numbers. - Chad buys
Chad buys peanuts in 2-pound bags. He repackages them into bags that hold 5/6 pounds of peanuts. How many 2-pound bags of peanuts should Chad buy to fill the 5/6-pound bags without having any peanuts left over? - Five number code
I forgot a five-digit code on the bag. I remember that it was a symmetric number, and the sum of its digits was 22. Write down all the numbers that can be coded. - MATHEMATICS: 46893
Solving the problem of substituting letters with numbers in the word MATHEMATICS: MAT + EMA = TIK - A fraction
I think of a fraction. If we increase its numerator and denominator by one, the value of the fraction increases by one-tenth. What fraction do I think? - Two-digit number
In a two-digit number, the number of tens is three greater than the number of units. If we multiply the original number by a number written in the same digits but in reverse order, we get product 3 478. Find the original number. - Harry
Harry Thomson bought a large land in the shape of a rectangle with a circumference of 90 meters. He divided it into three rectangular plots. The shorter side has all three plots of equal length. Their longer sides are three consecutive natural numbers. Fi - Dimensions 42501
Find at least six different dimensions (in meters) of a rectangle with a capacity of 20 m2
- Happy marriage
Jan and Marienka have been in a happy marriage for several years. Jan's age is written in the same numbers as Marienka's, only in reverse order. Their ages differ by just a fifth of Marienka's. Jan is older. How old is Jan, and how many is Marienka? - Pigs
A buyer said, "I want to buy 100 pigs for 100 denarii. An adult pig costs ten denarii, a sow five denarii, and two little piglets are worth one denarius. " How many pigs, cows, and piglets could he buy for exactly 100 denarii? - Exchange € 100
Find out how many ways you can exchange € 100 if you have an unlimited number of 50, 20, 10, and 5 euro banknotes. Use a method other than listing all options systematically. - Installments 39841 I received 30 euros in 7 installments, each installment being in whole euros. How many ways could this happen? What if the installments can be even 0 euros? How many possible solutions will there be?
- The theater
The Manila theater charged ticket prices: adults php 500, students php 250, and children below 12 are php 100. The theater collected a total of Php 100,000.00 from an audience of 250 people. What is a possible audience composition regarding the numbers of
Do you have unsolved problem that you need help? Ask a question, and we will try to solve it. Solving math problems.
Do you solve Diofant problems and are looking for a calculator of Diofant integer equations?
