Equation + reason - practice problems - page 4 of 36
Number of problems found: 710
- Consecutive 68154
Determine the group of numbers for which the following relations hold: a) The sum of the searched three consecutive even numbers equals 978. b) The sum of the searched four consecutive odd numbers equals 312. - Peter 67584
Peter was twice as old as Pavel. 4 years ago, Petr was three times older than Pavel. How old are they now? - Circumference 66964
We have to construct a rectangle with a circumference of 30 decimetres. The rectangle has sides of whole decimetres. How many different rectangles can we make? - Expression 66754
Find the largest natural number n for which the value of the expression (37-2n) / 3 equals the natural number. - Conditions 66544
I have a box that contains white, milk, and dark chocolate candies. The ratio of white to milk candies is 3:4. The ratio of white to dark candies is 4:3. The least amount of candies in the box if the conditions of the ratio of candies are met. - Prepared 66494
Benches were prepared around the fire. When seven tourists sit on them, one tourist will sit alone on the last bench. When six of them all sat down, one had to stand. How many tourists were at the campfire if we know there were less than 100, and how many - Efficiently 65484
In the first workshop, there are 3 workers; in the second workshop, 2 work equally efficiently. They worked on the order together, and for the last 2 days, only workers from the first workshop. If only the first workshop were working, the order would be c - Arithmetic 65324
Martin has an arithmetic average of 2.8 out of five history grades. If he only gets one from now, how many ones would he have to get at least so that the arithmetic mean of his history grades is less than 2? - Increased 64324
The number of books in the city library increased by 0.2% in 2008 and 0.6% in 2009. At the same time, the total number of books remained less than 300,000. How many books were added to the city library in 2009? - Everyone 63334
There are three times more children in the gym than adults. The average age of adults is 44 years. What is the average age of children if the total average age of everyone in the gym is 20? - Peter and Martin
Peter and Martin played by 67 balls. After the game, Peter had nine more balls than Martin. How many balls did Martin win? Solve the help of the equation. - 4 digit number
I am a four-digit number. My thousand period has a first digit which is thrice the second digit, and the second digit is two more than the third digit. All the rest of the digits are zeros. What number am I? - Quantities 60183
Determine the remaining quantities in the finite geometric sequence, given: n = 4, an = 12.5, sn = 187.5, a1 = ?, q =? - Members
A geometric sequence with six members has the sum of all six members equal to 63; the sum of the even members (that has an even index) has a value of 42. Find these members. - Three dices
What is the probability that the sum of points 14 will be a roll of three dice (B, M, Z)? - Children 58031
The children talked about how they spent the holidays at school. 2/3 of them were on holiday with their parents. There were ten children by the sea, which is 5/8 of those who were on vacation. How many children are in the class of children? - Squares
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? - Gas prices 2021
According to the SPP price list in 2021, the price of natural gas, together with its supply, is as follows: D1 - we cook. Fix 3.34 euros/month and 0.0479 euros/kWh (1 cubic meter of gas is approximately 10.555 kWh. It is called combustion heat and changes - Four-digit 55481
Find all four-digit abcd numbers to which: abcd = 20. ab + 16. cd, where ab and cd are double digits numbers from digits a, b, c, and d. - In the
In the arithmetic sequence, a1 = 4.8, d = 0.4. How many consecutive members, starting with the first, need to be added so that the sum is greater than 170?
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