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Mathematics

Word Problems and Applications

Practice questions

The sum of two numbers is (29) and their product is (204). What is the smaller number?The sum of two numbers is 31 and their product is 238. What is the larger number?A rectangular garden has length (12) m more than its breadth and area (448) square m. What is its breadth?A rectangular picture has length (13) cm more than its breadth and area (300) square cm. What is its length?The legs of a right triangle are (x) cm and (x+5) cm, and the hypotenuse is (25) cm. What is the smaller leg?The two perpendicular sides of a right-angled triangle are \(x\) m and \(x+4\) m, and its hypotenuse is 20 m. What is the value of \(x\)?When (5) is added to a number, the square of the result is (225). According to the positive root, what is the original number?When (7) is subtracted from a number, the square of the result is (100). In the positive case, what is the original number?The difference between the square of a number and (9) times the number is (90). What is the positive number?The square of a number is (60) more than (11) times the number. What is the positive number?The sum of a number and its square is (156). What is the positive number?The sum of a number and its square is (210). What is the positive number?The product of two consecutive odd positive numbers is (255). What is the smaller number?The product of two consecutive even positive numbers is (360). What is the larger number?The product of two consecutive odd numbers is \(399\). What is the larger number?The product of two consecutive positive even integers is 528. What is the smaller number?The length of a rectangular room is 14 m more than its breadth. If the area of the room is 480 square metres, what is its breadth?The length of a rectangular notice board is 15 cm more than its breadth, and its area is 250 square cm. What is the breadth of the board?When a positive number is multiplied by the number that is 12 greater than it, the product is 405. What is the number?The product of the larger of two positive numbers and the number that is 7 less than it is 198. What is the larger number?