Question

.
The
Priyanka's mother is 20 years older than her
from now
product of their ages syeary
will bel 300 we would to like to find present
agadratic equation.
age keep it in mind, construct
the​

Answer 1

Step-by-step explanation:

QUESTION :

• Priyanka's mother is 20 years older than her.The product of their ages 5 years from now will be 300 we would like to find priyanka's present age keep it in mind,construct the quadratic equation.

GIVEN :

• Priyanka's mother is 20 years

• ages of Priyanka's is 5 years

TO FIND :

• find priyanka's present age keep it in mind,construct the quadratic equation = ?

SOLUTION :

first we will assume a and b

Priyanka's age = a

Priyanka's mother age = b

age Priyanka's = a+ 5

age Priyanka's mother = b+5

• then,we will Substituting the value :

• a = (a + 5)(a + 25) = 300

• a = a² + (25+5)a + 25 × 5 = 300

• a =a² + 30a + 125 - 300 = 0

• a = a² + 30a - 175 = 0

• a = a² + 35a -5a - 175 = 0

• a = a(a +35) - 5(a +35) = 0

• a = (a +35)(a - 5) = 0

• a = (-35) and 5

present age of Priyanka's = 5

• present age of Priyanka's mother = (-35)