Question

The sum of the ages of 2 friends is 20 years . 4 years ago , product of their ages was 48 years . Is the situation possible?If so , determine their present ages .

Please solve this for me.....

Answer 1

Answer:

Given situation is not possible.

Step-by-step explanation:

Let the present ages of both be x and (20 - x)    [ sum is 20 ]

4 years ago their ages be

(x - 4) and (16 - x)

According to question

(x - 4) × (16 - x) = 48

16x - x² - 64 + 4x = 48

- x² + 20x - 112 = 0 or

x² - 20x + 112 = 0

Here Discriminant (D) = (-20)² - 4 × 1 × 112           [∵ D = b² - 4ac]

D = 400 - 448

D = -48

∵ D < 0, this equation has no real root, ∴ Given condition can not be possible.