Natural numbers - math word problems - page 60 of 94
Number of problems found: 1878
- Two-digit number puzzle
The digit sum of a two-digit number is 11. After changing the order of the digits, I get a number 27, smaller than the intended number. What number do I think? - Digit sum
The digit sum of the two-digit number is nine. When we turn figures and multiply by the original two-digit number, we get 2430. What is the original two-digit number? - Number sequence
Five natural numbers are given, each of which is a triple of the previous one. The largest number is bigger by 1152 than the middle number in this series. From these five numbers, determine the first number. - Two numbers
One number is 79 more than the other. If we divide the larger number by the smaller one, we get the quotient five and the remainder 11. Determine both numbers. - Digit equations
The digit sum of a two-digit number is 8. If we change the order of the digits, we get a number 18 smaller than the original. Identify these numbers. We are using linear equations of two unknowns. - Diofant 2
Is equation 1140x +876y = 48 solvable on the set of integers Z? - Aquarium fish distribution
Mike has a total of 137 fish in three aquariums. He has 19 more fish in the largest aquarium than in the medium. There are 5 fewer fish in the smallest than in the middle one. How many fish does Mike have in the smallest aquarium? - Band concert attendance
Ten thousand people came to the band. How many of them were adult students, and how many students? If adults paid CZK 300, students paid CZK 100 and paid a total of 2,300,000. - Candy color ratio
There are white, red, and green candies in the package. The number of white and red candies is in the ratio of 1:3, and the number of red and green candies is in the ratio of 4:7. There are 20 more green candies than white and red combined. How many candi - Columns of two and three
When students in one class stand in columns of two, there is none left. When he stands in columns of three, there is one student left. There are five more double columns than three columns. How many students are in the class? - Age
In 1960, my age was equal to the digits sum of the year of my birth. What is my age now? - Modulo
Find x in the modulo equation: 47x = 4 (mod 9) Hint - read as what number 47x divided by 9 (modulo 9) gives remainder 4. - Sequence members
Determine the first 14 members of the sequence if a15 = 225, d = -12 - Boxes
In a white box there are only white balls, in a green box there are only green balls, and in a blue box there are only blue balls. There are 12 white balls and 60 blue ones. Into the white box we transfer from the green and from the blue boxes such a numb - Hostel room calculation
Fifty-one students are accommodated in the tourist hostel in 15 four-bed and three-bedrooms. How many rooms are there if there are 2 spaces left after housing? a) There are four-bed rooms. b) There are three-bed rooms. - Digits
If x, y and z are three consecutive nonzero digits, zyx-xyz = 198, where zyx and xyz are three-digit numbers created from x, y, and z. - Find two
Find two consecutive natural numbers whose product is one larger than their sum. Searched numbers are expressed by a fraction whose numerator is the difference between these numbers, and the denominator is their sum. - Big number
What is the remainder when dividing 10 by 9 to 47 - 111? - Four integers
Find four consecutive integers so that the product of the first two is 70 times smaller than the product of the next two. - Legs
There are four-legged chairs and three-legged stools in the room, all fitted with (one) person. I counted all the legs in the room, and there were 39. How many chairs, stools, and people are there?
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