Integer equation - practice problems
Direction: Solve each problem carefully and show your solution in each item.Number of problems found: 158
- 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.
- Primes 2
For what primes p,q,r is true: p²-(q+r)²=647
- Number
Calculate the integer number divided by 34, gives 10 and the rest 25.
- Equation: 72584
Find the solution of the equation: 2x: 8 = 3 ÷ 4, where x is an integer.
- Year 2018
The product of the three positive numbers is 2018. What are the numbers?
- Cryptogram 73784
Solve the cryptogram (equation with letters, where the letter is one digit) Fot Bal ---- Cvik
- Fifteen 5
Fifteen more than five times a number equals the difference between -57 and three times the number. Find this integer number.
- An integer
An integer is 17 more than five times another. If the product of the two integers is -6, then find the integers.
- Consecutive 7550
The sum of four consecutive integers, five greater than the previous one, is 2. Find these numbers.
- Four-digit number
Find all four-digit abcd numbers with a digit sum of 12 such that ab-cd = 1
- Integer
Find the integer whose distance on the numerical axis from number 1 is two times smaller than the distance from number 6.
- Square Number
If to a square of integer number add 17, we get the square of the following integer number. What is the original number?
- Digit sum
How many are three-digit numbers that have a digit sum of 6?
- Dimensions 42501
Find at least six different dimensions (in meters) of a rectangle with a capacity of 20 m2
- Unknown 2881
Find an unknown number: (9 + y) x 6 = 12 x 7 y =?
- Five number code
I have a five-digit code on the bag that I forgot. I remember that it was a symmetric number and the sum of its digits was 22. Write all the numbers that can be a code.
- Bikes
Pepa asked Honza how many bikes he had. He replied that he had three-quarters of their total number and another three-quarter of one bike. So how many cycles does Honza have?
- Diofant equation
250x + 120y = 5640
- Sinus
Determine the smallest integer p for which the equation 4 sin x = p has no solution.
- Smallest 79434
Find the smallest natural x such that 2x is the square and 3x is the third power of a natural number.
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