the sum of the ages of tina and
rina is 20 years while the difference between
their age is 4 years write the pair of linear
equation
Please urgen
Answers
Step-by-step explanation:
If,
Tina = x
Rina = y. Then,
x+y=20
x-y=4
Given :-
Sum of age of two friends is 20 years.
Let ,
Age of first friend be x
Age of second friend =20-x
Four years ago:-
age of 1st friend = x - 4✔
Age of 2nd friend = (20 - x) - 4 =16 - x✔
Product of the age of two friends = 48 years :-
According to question
=> (x - 4) (16 - x) = 48
=> x (16 - x) - 4 (16 - x) = 48
=> 16x - x² - 64 + 4x = 48
=>- x² + 16x + 4x - 64 - 48= 0
=> - x² +20x - 112 = 0
=> x² - 20x + 112 = 0
Comparing the equation with ax² + bx + c = x² - 20x + 112
Here
a = 1
b = -20
c = 112
Now we will used discriminant formula :-
D = b² - 4ac
=> (-20)² - (4 × 1 × 112)
=> 400 - 448
=> - 48
(D < 0 )i.e D is less than 0 its mean it have no real roots
Hence,
It is not possible to find the present age.