Integer equation - math problems
Number of problems found: 84
- Integer sides
A right triangle with an integer length of two sides has one leg √11 long. How much is its longest side?
- Diofant equation
In the set of integers (Z) solve the equation: ? Write result with integer parameter ? (parameter t = ...-2,-1,0,1,2,3... if equation has infinitely many solutions)
- Integer
Find the integer whose distance on the numerical axis from number 1 is two times smaller as the distance from number 6.
- How many
How many different rectangles with integer page lengths have an area S = 60 cm²?
- Square Number
If to a square of integer number add 17, we get the square of the next integer number. What is the original number?
- Divisibility
Determine the smallest integer which divided 11 gives remainder 4 when divided 15 gives remainder 10 and when divided by 19 gives remainder 16.
- Sinus
Determine the smallest integer p for which the equation 4 sin x = p has no solution.
- Diofant equation
250x + 120y = 5640
- Diofant 2
Is equation ? solvable on the set of integers Z?
- Number
Calculate the integer number which, divided by 34 gives 10 and the rest 25.
- Primes 2
For what primes p,q,r is true: p2-(q+r)2=647
- Year 2018
The product of the three positive numbers is 2018. What are the numbers?
- Solve 2
Solve integer equation: a +b+c =30 a, b, c = can be odd natural number from this set (1,3,5,7,9,11,13,15)
- Modulo
Find x in modulo equation: 47x = 4 (mod 9) Hint - read as: what number 47x divided by 9 (modulo 9) give remainder 4 .
- Digit sum
How many are three-digit numbers that have a digit sum of 6?
- Find x 2
Find x, y, and z such that x³+y³+z³=k, for each k from 1 to 100. Write down the number of solutions.
- Two integers
Two integers, a and b, have a product of 36. What is the least possible sum of a and b?
- Z9-I-4
Kate thought a five-digit integer. She wrote the sum of this number and its half at the first line to the workbook. On the second line wrote a total of this number and its one fifth. On the third row, she wrote a sum of this number and its one nines. Fina
- Age
In 1960 my age was equal to the digits sum of the year of my birth. What is my age now?
- Clock
How many times a day hands on a clock overlap?
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