4.
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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Answer:
no it is not possible
Step-by-step explanation:
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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