Mathematics
Word Problems and Applications
Practice questions
The difference of two numbers is (8) and their product is (273). What is the larger number?The sum of squares of two positive numbers is (250) and their difference is (4). What is the larger number?A positive integer multiplied by its next integer gives 552. What is the number?When 17 is subtracted from the square of a number, the result is 127. What is the positive number?A ladder is 25 units long. The distance of its foot from the wall is 17 units less than the height reached on the wall. What is the height reached by the ladder on the wall?The hypotenuse of a right triangle is 41, and one leg is 31 longer than the other. What is the length of the shorter leg?The length of a rectangular garden is 4 units more than its breadth, and its area is 360 square units. What is the breadth of the garden?The area of a rectangle is 242 square units, and its length is twice its breadth. What is the breadth of the rectangle?An item sold for \(x\) rupees generates a total revenue of \(x(70-x)\) rupees. If the total revenue is 1200 rupees, what is the larger value of \(x\)?A farmer makes a rectangular field with an area of 384 square metres. The length of the field is 8 metres more than its breadth. What is the breadth of the field?A train covers a distance of 360 kilometres. If its speed is increased by 15 kilometres per hour, the travel time decreases by 2 hours. What was the train’s original speed?A person travels \(300\) kilometres. If the person's speed is reduced by \(10\) kilometres per hour, the travel time increases by \(1\) hour. What was the original speed?A boat moves at (20) kilometres per hour in still water. The stream speed is (x). It takes (4) hours to go (48) kilometres downstream and (32) kilometres upstream. What is (x)?(1800) rupees were distributed equally among some students. If there were (10) more students, each would get (6) rupees less. What was the original number of students?(1680) rupees were distributed equally in a class. If there were (4) fewer students, each would get (10) rupees more. What is the original number of students?A father's age is 28 years more than his son's age. After 4 years, the product of their ages will be 960. What is the son's present age?The sum of the ages of two friends is 44 years and the product of their ages is 480 years². What is the age of the older friend?In three consecutive positive integers, the product of the first and the third is (195). What is the middle integer?In three consecutive even integers, the product of the first and the third is (480). What is the middle even integer?The diagonal of a rectangle is 25 units, and its length is 17 units more than its breadth. What is the breadth of the rectangle?