 Hi, welcome to the session, I am Deepika here. Let's discuss the question, is the following situation possible if so determine their present ages. The sum of the ages of two friends is 20 years, 4 years ago the product of their ages in years was 40 years. So let's start the solution. Let the friends be A and B. Let the present age of age of A is equal to x years. Therefore, the present age of P is equal to 20 minus x years because sum of the ages of A and B is 20 years. Now, 4 years ago age of A was x minus 4 years, age of B was 20 minus x minus 4 years which is equal to 16 minus x years. According to the question, years ago the product of their ages in years was 48. Therefore, x minus 4 into 16 minus x is equal to 48 because x minus 4 is the age 4 years ago and 16 minus x is the B's age 4 years ago. So their product is equal to 48. Now, we will solve this equation. This implies 16x minus x square minus 64 plus 4x is equal to 48. This implies minus x square plus 20x minus 64 minus 48 is equal to 0. Again, this implies x square minus 20x plus 64 plus 48 is equal to 0. Again, this implies x square minus 20x plus 112 is equal to 0. Now, we got the quadratic equation in the form A x square plus B x plus c. We will solve this equation. On comparing with A x square plus B x plus c is equal to 0, we get A is equal to 1, B is equal to minus 20 and c is equal to 112. Now, we will find out the discriminant. Therefore, B square minus 4ac is equal to minus 20 square minus 4 into 1 into 112 which is equal to 400 minus 448 which is equal to minus 48. Because B square minus 4ac is less than 0 because minus 48 is less than 0. Therefore, there are no real roots exist for the quadratic equation. Hence, the situation is not possible. Hence, the situation where it is given that the sum of the ages of two friends is 20 years, 4 years ago, the product of their ages was 48. So, this situation is not possible. Hence, the situation is not possible. Therefore, our answer is no, it is not possible to have such type of situation. I hope the question is clear to you. Bye and have a good day.