Integers + system of equations - practice problems - last page
Number of problems found: 35
- 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. - Difference of two number
The difference between the two numbers is 20. They are positive integers greater than zero. The first number raised to one-half equals the second number. Determine the two numbers. - Difference 7742
The difference between the two numbers is -85. Their sum is 89. Determine these numbers. - Three ints
The sum of three consecutive integers is 2016. What numbers are they? - The sum 35
The sum of the two numbers is -20. One number is 3 more than the other one. Find the numbers. - Difference 13903
The sum of two integers is three, and their difference is 7. Determine the unknown numbers. - Integer
Find the integer whose distance on the numerical axis from number 1 is two times smaller than the distance from number 6. - An integer
An integer is 17 more than five times another. If the product of the two integers is -6, then find the integers. - Geometry: 78014
Good day, Even though it is a trivial task, I don’t know how to deal with it. This is analytic geometry: Find all integers a, b, and c such that the line given by the equation ax+by=c passes through the points [4,3] and [−2,1]. Thank you for your answer - Chickens and rabbits
In the yard were chickens and rabbits. Together they had 23 heads and 76 legs. How many chickens and how many rabbits were in the yard? - Ladislav in Amsterdam
Laco went (was sent) to a conference in Amsterdam for a reward. The conference fee was € 1304. Calculate how many books Ladislav could buy at the price of 32 and 22 euros if he doesn't want to fill the whole home library, and he can buy only 52 books - Subtract 10001
For five whole numbers, if we add one to the first, multiply the second by the second, subtract three from the third, multiply the fourth by four, and divide the fifth by five, we get the same result each time. Find all five of the numbers that add up to - 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.) - Banknotes
$ 1390 was collected. How much was in $20 notes, and how many in $50 notes in that order? How many solutions exist? - 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
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