The sum of the ages of pavani and her mother is 50years ten years ago,

1.	The sum of the ages of pavani and her mother is 50years ten years ago, theproduct of their ages was 300. Is this possible, justfy your answer?
Answer» Let age of Pavani be xThen age of Mother be 50 - x Ten years agoAge of Pavani = x - 10Age of Mother = 50 - x - 10= 40 - x Then, (x - 10)(40 - x) = 30040x - x^2 - 400 + 10x = 300x^2 - 50x + 700 = 0 For this equation:Discriminant =(-50-50) - 41700 = 02500 - 2800 = - 300 Since Discriminant is less than zero. So given equation have no real roots. Therefore, its not possible

The sum of the ages of pavani and her mother is 50years ten years ago, theproduct of their ages was 300. Is this possible, justfy your answer?

Answer»

Let age of Pavani be xThen age of Mother be 50 - x

Ten years agoAge of Pavani = x - 10Age of Mother = 50 - x - 10= 40 - x

Then, (x - 10)*(40 - x) = 30040x - x^2 - 400 + 10x = 300x^2 - 50x + 700 = 0

For this equation:Discriminant =(-50*-50) - 4*1*700 = 02500 - 2800 = - 300

Since Discriminant is less than zero. So given equation have no real roots.

Therefore, its not possible