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.

Question

Harshit Singh · Answer

Dear Student Let&rsquo;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) years Age of Second friend = (20 -x- 4) = (16 -x) years As per the given question, we can write, (x- 4) (16 -x) = 48 16x - x^2- 64 + 4x= 48 -x^2+20x-112=0 x^2- 20x +112 = 0 Comparing the equation withax^2+bx+c= 0, we get a=1,b= -20andc= 112 Discriminant =b^2- 4ac => (-20)^2- 4 &times; 112 => 400 - 448 = -48 b^2- 4ac <0 Therefore, there will be no real solution possible for the equations. Hence, condition doesn't exist. Thanks

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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.

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.

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