Integer equation - math word problems
Number of problems found: 77
- 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)
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?
Determine the smallest integer which divided 11 gives remainder 4 when divided 15 gives remainder 10 and when divided by 19 gives remainder 16.
- 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)
Determine the smallest integer p for which the equation 4 sin x = p has no solution.
- Diofant 2
Is equation ? solvable on the set of integers Z?
- Diofant equation
250x + 120y = 5640
- Primes 2
For what primes p,q,r is true: p2-(q+r)2=647
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
Find x in modulo equation: 47x = 4 (mod 9) Hint - read as: what number 47x divided by 9 (modulo 9) give remainder 4 .
Calculate the integer number which, divided by 34 gives 10 and the rest 25.
- Two integers
Two integers, a and b, have a product of 36. What is the least possible sum of a and b?
- 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.
- Digit sum
How many are three-digit numbers that have a digit sum of 6?
Some friends had to collect the sum 72 EUR equally. If the three refused their part, others would have to give each 4 euros more. How many are friends?
The summer camp is 41 cottages. Rooms are for three and for four in them. How many of the 140 campers lives of three?
- Year 2018
The product of the three positive numbers is 2018. What are the numbers?
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