 Hello and welcome to this session. Let us understand the following problem today. Find the two numbers whose sum is 27 and product is 182. Now let us write the solution given to us is, sum of two numbers is equal to 27 and their product is equal to 182. Now let the one number be x therefore the other number is equal to 27 minus x. Now it is given to us that product is equal to 182 therefore the equation form will be x into 27 minus x is equal to 182 which implies 27x minus x square is equal to 182. Which implies x square minus 27x plus 182 is equal to 0. Now splitting the middle term we get x square minus 14x minus 13x plus 182 is equal to 0. Which implies taking x common we get x minus 14 taking minus 13 common we get x minus 14 which is equal to 0. Which implies x minus 13 into x minus 14 is equal to 0. Which implies x minus 13 is equal to 0 and x minus 14 is equal to 0. Which implies x is equal to 13 and x is equal to 14. Hence the required numbers are 13 and 14. I hope you understood the problem. Bye and take care.