Natural numbers + system of equations - math problems

Number of problems found: 50

Unknown numbers
The sum of two consecutive natural numbers and their triple is 92. Find these numbers.
Two numbers 7
The sum of two consecutive even numbers is 30. Find the numbers.
Algebrogram
Solve algebrogram for sum of three numbers: BEK KEMR SOMR ________ HERCI
Odd numbers
The sum of four consecutive odd numbers is 1048. Find those numbers ...
Rectangles
The perimeter of a rectangle is 90 m. Divide it into three rectangles, the shorter side has all three rectangles the same, their longer sides are three consecutive natural numbers. What is the dimensions of each rectangle?
Product
The sum and the product of three integers is 6. Write largest of them.
Algebrogram
Solve algebrogram: mama+anna=vari How many solutions are?
Sequence
In the arithmetic sequence is given: S_n=2304, d=2, a_n=95 Calculate a₁ and n.
Two-digit number
Digit sum of thinking two-digit natural number is 11. When it exchanging a sequence of digits, given a number which is 27 less than the thinking number. Find out which number I think.
Two unknown numbers
One number is 2 less than a second number. Twice the second number is 14 less than 5 times the first. Find the two numbers.
Large family
I have as many brothers as sisters and each my brother has twice as many sisters as brothers. How many children do parents have?
Age
In 1960 my age was equal to the digits sum of the year of my birth. What is my age now?
Circus
On the circus performance was 150 people. Men were 10 less than women and children 50 more than adults. How many children were in the circus?
Adding
Divide number 135 into two additions so that one adds 30 more than 2/5 of the other add. Write the bigger one.
Unknown number 10
Number first increased by 30%, then by 1/5. What percentage we've increased the original number?
Landlord
Landlord had 49 ducats more than Jurošík. How many ducats Jurošík steal landlord if the Jurošík now 5 ducats more?
Tourist cottage
The tourist cottage has 11 rooms for 16 guests, some of them are doubles, some singles. How many are double rooms and how many are single rooms?
Four integers
Fnd four consecutive integers so that the product of the first two is 70 times smaller than the product of the next two.
Peter and Paul
Peter and Paul together have 26 years. Four years ago, Paul was twice older than Peter. How much is Paul and how much Peter?
Sheep and cows
There are only sheep and cows on the farm. Sheep is eight more than cows. The number of cows is half the number of sheep. How many animals live on the farm?