Problems on Quadratic Equation





In this page problems on quadratic equation we are going to see how to solve word problems on the topic quadratic equation.

Questions

Solution

(1) Find two consecutive positive even integers whose squares have the sum 340.

Solution

(2) The sum of two squares of three consecutive natural numbers is 194. Determine the numbers.

Solution

(3) The product of two successive multiples of 3 is 810.Find the multiples

Solution

(4) The sum of the squares of two natural numbers is 34 and sum of 5 times the smaller and 3 times the larger is 30.. Find the numbers.

Solution

(5) Two natural numbers differ by 2 and their product is 360. Find the numbers.

Solution

(6) There are three consecutive positive integers such that the sum of the square of first and the product of the other two is 154. Find the integers

Solution

(7) Find two consecutive natural numbers whose product is 30.

Solution

(8) The sum of two numbers is 60 and their product is 576. Find the numbers.

Solution

(9) Divide 29 into two parts so that sum of their squares is 425.

Solution

(10) Find the whole number which when decreased by 20 is equal to 69 times the reciprocal of the number.

Solution

(11) The sum of the number and its positive square root is 7/36. Find the number.

Solution

(12) The sum of two numbers is 15 and the sum of its reciprocals is 3/10. Find the numbers.

Solution

(13) Two positive numbers differ by 4 and their product is 192. Find the numbers.

Solution

(14) A two digit number is four times the sum of its digits and twice the product of the digits. Find the number.

Solution

(15) A two digit number such that the product of its digits is 21. When 36 is subtracted from the number the digits are interchanged. Find the number.

Solution

(16) A two digit number is such that the product of its digits is 12. When 36 is added to this number the digits are interchanged. Find the numbers.

Solution

(17) The denominator of the fraction is 5 more than its numerator. The sum of the fraction and its reciprocal is 73/24. Find the fraction.

Solution

(18) The denominator of the fraction is one more than twice the numerator. If the sum of the fraction and its reciprocal is 58/21, find the fraction.

Solution

(19) The sum of the age of a man and his son is 35 years and the product of their ages is 150. Find their ages.

Solution

(20) The product of the man’s age 5 years ago and 5 years later is 600. Find his present age.

Solution

problems on quadratic equation problems on quadratic equation