System of equations + addition - practice problems - page 3 of 4
Number of problems found: 76
- Measure 8292
Shrek and Fiona have a total of 360 cm. Shrek is 24 cm taller than Fiona. How many cm does Shrek, and how many does Fiona measure? - Sum and ratio
The sum and ratio of two numbers are equal to 10. Which numbers are they? - Self-counting machine
The self-counting machine works exactly like a calculator. The innkeeper wanted to add several three-digit natural numbers on his own. On the first attempt, he got the result in 2224. To check, he added these numbers again, and he got 2198. Therefore, he - Divisors 7779
Two numbers are guessing. The second number is five times greater than the first number, and the square of the first number is equal to 3/5 of the second number. Find the sum of the two numbers and all its divisors.
- Difference 7742
The difference between the two numbers is -85. Their sum is 89. Determine these numbers. - The ratio
The ratio of the two numbers is 4, and their sum is 75. Determine both numbers. - Two-fifths 7427
Divide the number 135 into two summands so that one summand is 30 greater than two-fifths of the other summand. - Summands 7380
Divide the number 4600 into two summands so that one summand is 700 larger than half of the other summand. - Two numbers 7
The sum of two consecutive even numbers is 30. Find the numbers.
- Mathematical 7034
Jaroslav and his grandfather often played mathematical games. His grandfather gave him the following puzzle: The sum of four consecutive even numbers is 116. What are they? - Downstream 7002
A rowboat sailing down a river covers a distance of 120 m downstream in 12 s and upstream in 24 s. Find the magnitude of the ship's velocity relative to the water and the current in the river. Both speeds are constant. - Six-sided polygon
There is a six-sided polygon. The first two angles are equal, the third angle is twice (the equal angles), two other angles are trice the equal angle, while the last angle is a right angle. Find the value of each angle. - Language 6588
Two hundred fifty-five students of a certain high school know one other language in addition to English. Twenty-three more pupils mastered the German language than the Russian language. The French language is mastered by 37 fewer pupils than the German la - Calculate 6217
Calculate the larger of the two shields if you know that the smaller shield is a third of the larger one, and their sum is 48.
- Addition 6113
Find the natural numbers x and y such that: 1/2 = x / y and in addition that: x + y = 6 - Branches 5825
Parrots, a few of them flew around and sat down anyway. 3 on the dog's back. There are 29 parrots. There were 9 more sitting than flying. 6 more sat on the branches than on the grass. How many parrots were still flying? How many were sitting on the branch - Animals 4776
There are five animals in the yard. There are only goats and geese. They have a total of 14 legs. How many geese and how many goats are in the yard? - Substitution 4644
Solve the system of equations by substitution, comparison, and addition method and perform the test: 4x + y = 5 3x-5y = 21 - Decimal 4641
The sum of two decimal numbers, one of the numbers is 3.2, larger than the other, is 52.78.
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