Question

Is the following situation possible? The sum of ages of a mother and her daughter is 25 years. Five years ago the product of their ages was 58


please solve on paper as soon as possible I need for my revision test​

Answer 1

Let their present ages be x and 20−x yrs respectively.

Four years ago, their ages would be (x-4) and (16-x) yrs respectively.

(x−4)(16−x)=48

16x−x

2

−64+4x=48

x

2

−20x+112=0

b

2

−4ac=−48

Since the discriminant <0, the roots would be imaginary.

Hence, such a situation is not possible.

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