Mathematics
Word Problems and Applications
Practice questions
When 27 times a positive number is subtracted from its square, the result is 1000. What is the number?The sum of a number and its square is 1892. What is the positive number?When (444) is added to the square of a number, the result is (1900). What is the positive number?When 512 is subtracted from the square of a number, the result is 1809. What is the positive value of the number?The square of (14) more than a number is (2500). In the positive case, what is the number?The square of (15) less than a number is (2209). In the positive case, what is the number?In an age problem, the father's age is 36 years more than the son's age, and the product of their ages is 1980. What is the father's age?In an age problem, the mother is (34) years older than her daughter and the product of their ages is (1760). What is the daughter's age?A present age is (x) years. The product of the age after (9) years and the age (9) years ago is (2119). What is the present age?A present age is (x) years. The product of the age after (8) years and the age (8) years ago is (1936). What is the present age?A square field has a side length of \(x\) metres. If its side is increased by 10 metres, its area increases by 1700 square metres. What is the original side length \(x\)?The side length of a square is \(x\) cm. If reducing the side by 7 cm makes the new area 1296 square cm, what was the original side length?When both length and breadth of a rectangle are increased by (8) cm, the area increases by (1056) square cm. If the original length is (18) cm more than the breadth, what is the breadth?The length of a rectangle is 15 m more than its breadth. If the length is increased by 6 m and the breadth by 5 m, the new area becomes 1944 square metres. What is the approximate original breadth of the rectangle?A wire is bent into a square and the area is (2025) square cm. What is the length of the wire?A wire is bent into a rectangle. The length is (25) cm more than the breadth and area is (2100) square cm. What is the length of the wire?A uniform path 4 metres wide surrounds a rectangular garden. The garden is 46 metres long and 32 metres wide. What is the area of the entire rectangle, including the path?A rectangular garden, 50 m long and 36 m wide, is surrounded by a uniform path of width x m. The area of the entire rectangle, including the path, is 2760 square metres. What is the value of x?A uniform border of width x metres is left along the inside of a square field. If the outer side of the field is 68 metres and the side of the remaining inner square is 44 metres, what is the value of x?In a two-digit number, the tens digit is (2) less than the units digit and the product of the digits is (24). What is the number?