Question:
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.
Answer:
Given the sum of the ages of two friends is 20 years.
let one age = x and the other age is 20 - x
After 4 years ago,
ages are (x - 4) and (20 - x - 4) = (16 - x)
Again given product of age is 48
=> (x - 4)*(16 - x)=48
=> 16x - x2 - 64 + 4x = 48
=> -x2 + 20x -64 - 48 = 0
=> -x2 + 20x - 112 = 0
=> x2 - 20x + 112 = 0
Since this equations has no real root.
So this situation does not exist or possible.
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