Question

Check the validity of the following situation. The sum of the age of two friends is 20 years. Four years ago, the product of their age was 48.

• A. True
• B. False

Answer 1

The correct option is B

False

Let age of first friend = $x$ years, then age of second friend = $20–x$ years.
Four years ago, age of first friend = $x–4$ years and age of second friend = $16–x$ years.

Given condition is,
$(x–4)(16–x)=48$
$16x–x^2–64+4x=48$
$x^2–20x+112=0$
Using quadratic formula
$x=\frac{20\pm \sqrt{400-488}}{2}$
Since discriminant is less than zero, we cannot have any real roots for this equation.
Therefore, the given situation is false.