Mathematics
Word Problems and Applications
Practice questions
A person travels a distance of 1125 km in x hours at a speed of x+20 km/h. What is the value of x?A worker completes (1440) units of work in (x) days by doing (x+18) units daily. What is the number of days?A student solves \(x+22\) questions each day for \(x\) days, completing 1400 questions in total. What is the value of \(x\)?A library has \(x\) shelves, and each shelf contains \(x+27\) books. If the total number of books is 1980, how many shelves are there?An assembly has x rows, with x+30 chairs in each row. If there are 2275 chairs in total, how many rows are there?A garden has \(x\) rows, with \((x-16)\) plants in each row. If there are \(1536\) plants in total, how many rows are there?In an examination, a total of 1600 question papers are distributed. If the number of students is \(x\) and each student receives \(x-18\) question papers, how many students are there?The product of the numbers that are respectively 8 and 15 more than a positive number is 2340. What is the original number?The product of the number that is 11 less than a number and the number that is 20 more than it is 2112. What is the positive original number?The product of the numbers that are 14 less than and 25 more than a positive number is 2700. What is the positive number?The square of a number is 2800 more than 30 times the number. What is the positive number?The difference between the square of a positive number and 40 times the number is 3825. What is the number?The sum of a number and its square is 2352. If the number is positive, what is the number?When 399 is added to the square of a number, the result is 3208. What is the positive number?When 975 is subtracted from the square of a number, the result is 2625. What is the positive number?The square of (18) more than a number is (4096). In the positive case, what is the number?The square of (22) less than a number is (2500). In the positive case, what is the number?In an age problem, the father's age is 42 years more than the son's age, and the product of their ages is 2160. What is the father's age?In an age problem, the mother is (38) years older than her daughter and the product of their ages is (2240). What is the daughter's age?A person's present age is \(x\) years. The product of the person's age 12 years from now and 12 years ago is 2160. What is the person's present age?