Integer equation - practice problems
Direction: Solve each problem carefully and show your solution in each item.Number of problems found: 175
- 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 43, 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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