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Is the following situation possible? If so, determine their present ages. The sum of the ages of two friends is 20 years. Four years ago, the product of their ages in years was 48.
Dear StudentLet’s say, theage of one friend be x years.Then, the age of the other friend will be (20 - x) years.Four years ago,Age of First friend = (x- 4) yearsAge of Second friend = (20 -x- 4) = (16 -x) yearsAs per the given question, we can write, (x- 4) (16 -x) = 4816x - x^2- 64 + 4x= 48-x^2+20x-112=0x^2- 20x +112 = 0Comparing the equation withax^2+bx+c= 0, we geta=1,b= -20andc= 112Discriminant =b^2- 4ac=> (-20)^2- 4 × 112=> 400 - 448 = -48b^2- 4ac <0Therefore, there will be no real solution possible for the equations.Hence, condition doesn't exist.Thanks
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