the sum of age of two friends is 20 years 5 year ago the product of their age in year was 40 is the situation possible if so determine their percent age
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Let the age of one friend be x years.
Age of the other friend will be (20 − x) years.
4 years ago, age of 1st friend = (x − 4) years
And, age of 2nd friend = (20 − x − 4)
= (16 − x) years
Given that,
(x − 4) (16 − x) = 48
16x − 64 − x2 + 4x = 48
− x2 + 20x − 112 = 0
x2 − 20x + 112 = 0
Comparing this equation with ax2 + bx + c = 0, we obtain
a = 1, b = −20, c = 112
Discriminant = b2 − 4ac = (− 20)2 − 4 (1) (112)
= 400 − 448 = −48
As b2 − 4ac < 0,
Therefore, no real root is possible for this equation and hence, this situation is not possible.
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