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 situation possible? If so, determine their present ages.
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Answer:
situation is not possible
Step-by-step explanation:
Lets say Age of one friend = P years
then age of other friend = 20 - P years
Four years ago their ages were
P -4 & 20-P - 4 Years
P -4 & 16 - P Years
(P - 4)(16 - P) = 48
=> -P² + 20P - 64 = 48
=> P² - 20P + 112 = 0
D = b² - 4ac
= (-20)² - 4(1)(112)
= 400 - 448
= -48
D < 0
so this solution is not possible
hence situation is not possible
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