Mathematics
Word Problems and Applications
Practice questions
A person travels 84 km in x hours at a speed of (x+5) km/h. What is the value of x?A worker completes (180) units of work in (x) days by doing (x+3) units daily. What is the number of days?A student solves (x+4) questions each day for x days and solves 320 questions in total. What is the value of x?A library has 682 books in total. If the number of shelves is \(x\) and each shelf contains \(x+9\) books, how many shelves are there?An assembly has \(x\) rows, with \((x+15)\) chairs in each row. If there are 1000 chairs in total, how many rows are there?The plants in a garden are arranged in rows with an equal number of plants in each row. If the number of rows is \(x\) and each row contains \(x-6\) plants, there are 667 plants in total. How many rows are there?In an examination, there are \(x\) students, and each student is given \((x-5)\) questions. If the total number of questions is \(414\), how many students are there?The product of the numbers that are 3 and 7 more than a positive number is 600. What is the original number?The product of the numbers that are 5 less than and 8 more than a number is 464. What is the positive original number?The product of the numbers that are 2 less and 9 more than a positive number is 620. What is the original number?The square of a number is 240 more than 14 times the number. What is the positive number?When 16 times a positive number is subtracted from its square, the result is 425. What is the number?The sum of a number and its square is 930. What is the positive number?When (156) is added to the square of a number, the result is (1057). What is the positive number?When (175) is subtracted from the square of a number, the result is (550). What is the positive number?The square of (4) more than a number is (900). In the positive case, what is the number?The square of (6) less than a number is (784). In the positive case, what is the number?In an age problem, the father's age is 28 years more than the son's age, and the product of their ages is 1485. What is the father's age?In an age problem, the mother is (24) years older than her daughter and the product of their ages is (640). What is the daughter's age?A person's present age is \(x\) years. The product of the person's age 5 years from now and age 5 years ago is 875. What is the person's present age?