Integer equation - practice problems
Number of problems found: 96
- 11990 perimeter RT
A right triangle has integer side lengths and a perimeter of 11990. In addition, we know that one of its perpendiculars has a prime number length. Find its length.
- Three dices
What is the probability that the sum of points 14 will be a roll of three dice (B, M, Z)?
From the square with the integer side, cut out the square with the integer side so that the residual area is 100. What is the longest possible side of the larger square?
- The perimeter
The perimeter of the triangle is 24, the sides are integers and form an arithmetic sequence. Specify the side sizes of this triangle.
- The temperature 14
The temperature is 12°C lower than 4 hours ago. a. What is the average temperature change per hour? b. Write an integer equation for the situation.
- Two numbers
One number is by 79 larger than the other. If we divide the larger number by the smaller one, we get the ratio 5 and the remainder 11. Determine both numbers.
- Chad buys
Chad buys peanuts in 2-pound bags. He repackages them into bags that hold 5/6 pound off peanuts. How many 2 pound bags of peanuts should Chad buy so that he can fill the 5/6-pound bags without having any peanuts left over?
- Five number code
I have a 5 digit code on the bag that I forgot. All I remember is that it was a symmetric number and the sum of its digits was 22. Write all the numbers that can be a code. .
- A fraction
I think of a fraction, if we increase its numerator and denominator by one, the value of the fraction increases by one tenth, what fraction do I think?
- Two-digit number
In a two-digit number, the number of tens is three greater than the number of units. If we multiply the original number by a number written in the same digits but in reverse order, we get product 3 478. Find the original number.
Harry Thomson bought a large land in the shape of a rectangle with a circumference of 90 meters. He divided it into three rectangular plots. The shorter side has all three plots of equal length, their longer sides are three consecutive natural numbers. Fi
- Happy marriage
Jan and Marienka have been living in a happy marriage for several years. Jan's age is written in the same numbers as Marienka only in reverse order. Their ages differ by just a fifth of Marienka's age. Jan is older. How old is Jan and how many are Marienk
A buyer said, "I want to buy 100 pigs for 100 denarii. An adult pig costs 10 denarii, a sow 5 denarii, two little piglets are worth 1 denarius. " How many pigs, sows and piglets could he buy for exactly 100 denarii?
- Exchange € 100
Find out how many ways you can exchange € 100 if you have an unlimited number of 50, 20, 10 and 5 euro banknotes. Use a method other than listing all options systematically.
- The manila
The manila theater charged ticket prices as follow: adults php500, student php250, and children below 12 is php100. The theater collected a total of php100,000.00 from an audience of 250 people. What is a possible composition of the audience regarding the
- Coloured numbers
Mussel wrote four different natural numbers with coloured markers: red, blue, green and yellow. When the red number divides by blue, it gets the green number as an incomplete proportion, and yellow represents the remainder after this division. When it div
- 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.
- Dance ensembles
4 dance ensembles were dancing at the festival. None had less than 10 and more than 20 members. All dancers from some of the two ensembles were represented in each dance. First, 31 participants were on the stage, then 32, 34, 35, 37, and 38. How many danc
- How many
How many different rectangles with integer page lengths have an area S = 60 cm²?
- Integer sides
A right triangle with an integer length of two sides has one leg √11 long. How much is its longest side?
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