Mathematics
Word Problems and Applications
Practice questions
A worker completes (736) units of work in (x) days by doing (x+9) units daily. What is the number of days?A student solves 11 more questions each day than the number of days he studies. If he studies for x days and solves 900 questions in total, what is the value of x?A library has \(x\) shelves, and each shelf contains \((x+13)\) books. If the library has 1014 books in total, how many shelves are there?An assembly has x rows, with (x+17) chairs in each row. If there are 1568 chairs in total, how many rows are there?A garden contains 850 plants. If there are x rows and each row has \(x-9\) plants, how many rows are there?In an examination, there are \(x\) students, and each student is given \(x-7\) questions. If the total number of questions given is \(800\), how many students are there?The product of two numbers that are respectively 4 and 10 greater than a positive number is 952. What is the original number?The product of the number that is 7 less than a number and the number that is 12 more than it is 756. What is the positive value of the original number?The product of the numbers 5 less and 14 more than a positive number is 1242. What is the original number?The square of a number is 432 more than 18 times the number. What is the positive number?The difference between the square of a positive number and 20 times the number is 621. What is the number?The sum of a number and its square is 1260. What is the positive number?When (175) is added to the square of a number, the result is (1076). What is the positive number?When 256 is subtracted from the square of a number, the result is 1040. What is the positive number?The square of (9) more than a number is (1681). In the positive case, what is the number?The square of (11) less than a number is (1156). In the positive case, what is the number?In an age-related problem, the father's age is 32 years more than the son's age, and the product of their ages is 1280. What is the father's age?In an age problem, the mother is (30) years older than her daughter and the product of their ages is (1476). What is the daughter's age?A person's present age is \(x\) years. The product of the person's age after 7 years and the age 7 years ago is 1551. What is the person's present age?A present age is (x) years. The product of the age after (6) years and the age (6) years ago is (1333). What is the present age?