System of equations + reason - practice problems
Number of problems found: 309
- Peter 67584
Peter was twice as old as Pavel. 4 years ago, Petr was three times older than Pavel. How old are they now?
- Hens and rabbits
There are certain number of hens and rabbits in a room. The number of feet of the hens exceeds the number of feet of the rabbits by 12, while the number of heads of the hens exceeds the number of the heads of the rabbits by 28. Then the number of hens and
- Peter and Martin
Peter and Martin played by 67 balls. After the game, Peter had 9 more balls than Martin. How many balls did Martin win? Solve the help of the equation.
- 4 digit number
I am a 4 digit number. My thousand period has a first digit which is thrice the second digit, 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 =?
A geometric sequence with six members has the sum of all six members equal to 63; the sum of the even members (that has even index) has a value of 42. Find these members.
- Apple collecting
Luke, Peter and Tibor compared how many kilograms of apples they had collected. They found that the arithmetic mean of what Luke and Peter collected was 10 kg larger than Tibor's contribution, and the arithmetic mean of what Luke and Tibor collected was 3
- 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.
- In the library
In the library at Lenape Elementary School, there are 2/5 as many fiction books as there are nonfiction books. There are 56 books in the school library. How many books are fiction books?
- Maria 2
Maria is 7 years older than her brother Robert and in 2 years her age will be four times what Robert’s age was three years ago. Find their present ages.
- Fruit equation
Find how many peaches could be bought instead of buying one melon, one pear, one apple and two plums if we know that: • Melon and plum cost the same as three apples • if we subtract the price of a pear from the price of peach, we get the price of plum • T
- Two workers
One worker makes a part 4 hours and the second 9 hours later than they would make the same part together. How long does it take for each worker to make the part himself?
- Consecutive 47011
The sum of two consecutive odd numbers is 184. What are these numbers?
- 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.
- THE FARM
Hens, goats, and 3 cows grow on the farm. All animals have a total of 19 heads and 56 legs. How many goats live on the farm, and how many hens live on the farm?
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
- The difference 2
The difference between the two numbers is 25. The smaller number is 1/6th of the larger number. What is the value of the smaller number?
A buyer said, "I want to buy 100 pigs for 100 denarii. An adult pig costs ten denarii, a sow five denarii, and two little piglets are worth one denarius. " How many pigs, cows, and piglets could he buy for exactly 100 denarii?
Tourists hire a guide. Everyone will pay the same amount. If there are two less of them, they will pay 14 crowns more, and if there are three more, they will pay 14 crowns less. How many tourists are there and how much have the guides paid.
- The family
How old is a mother if she is four times older than her daughter and 5 years ago she was even seven times older than her daughter? Today, a son is 30 years younger than a father. 7 years ago, a father was seven times older than a son. How old is a son tod
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