# Integer equation - practice problems

Direction: Solve each problem carefully and show your solution in each item.#### Number of problems found: 177

- X and Y

X and Y are positive integers. If X+Y+XY=32, what is the difference between X and Y? - Harold

Harold made a rectangular dog run in his backyard. The area of the dog run is 96 square feet. What are three different possible dimensions of dog run? - There 35

There are three points on a straight line: A, BC. If CD = 8x, DE = 3, and CE = x + 10, what is CD? Simplify your answer and write it as a proper fraction, mixed number, or integer. - Calculate 415

Calculate the cuboid's dimensions if the sum of its edges is 19cm. The body's diagonal size is 13 cm, and its volume is 144 cm³. The total surface area is 192 cm².

- A group

A group of young men decides to raise ksh 480,000 to start a business. Before the actual payment was made, four members pulled out, and each of the remaining had to pay an additional ksh 20,000. Determine the original number of members. - Chocolate 83581

The candy store sold two types of chocolate candies. Red for 8 Sk and blue for 6 Sk. We bought 20 candies for 136 CZK. How many candies are blue and how many red? We have red candies: We have blue candies: - Rectangle 83142

How many different plots of land in the shape of a rectangle with length and sides in whole meters can we fence if we have 49 m of mesh available? - Solution 83099

There are spiders and flies on the window. They have a total of 38 legs. How many spiders and flies are there if a spider has 8 legs and a fly has 6? Just give one solution. - Two-seventeenths 82639

Mr. Dolphin and Mr. Shark were skilled fishermen. Once, they caught a total of 70 fish. Five-ninths of the fish Mr. Dolphin caught were trout. Two-seventeenths of the fish Mr. Shark caught were carp. How many fish did Mr. Dolphin catch?

- Two-digit 82521

Karel had to multiply two two-digit numbers. Out of care, he changed the order of the digits in one of the factors and got a product that was 4,248 less than the correct result. What is the correct result? How much should Karl have earned? - Position 81987

Find a number with six digits. If you put the last digit before the first, you get a new number that is five times larger. The digits between must not change their position. - Three-digit 81064

A three-digit number has a digit sum of 16. If we change the digits in the hundreds and tens places in this number, the number is reduced by 360. If we swap the ten's and one's digits in the original number, the number increases by 54. Find this three-dig - Five-minute 80951

Karel has an average grade of exactly 1.12 from five-minute episodes. Prove that at least 22 of them have one. - Multiply 80797

When I multiply two equal natural numbers, I get the same result as when I add them together. Which ones are they?

- Smallest z9

Find the smallest positive numbers a and b for which 7a³ = 11b⁵ - 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?

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