Question

At the time of birth of a child, father's age was 30 years.Product if the ages of father and son is 675.Find their ages

Answer 1

Answer:

Present age of child = 15 years

present age of father = 45 years

Step-by-step explanation:

At the time of birth of a child, father's age was 30 years.

Child age = 0

After some X years (present ages),Product of the ages of father and son is 675.

Present age of child = 0+x = x

Present age of father = 30+x

(0+x) (30+x) = 675

${x}^{2} + 30x - 675 = 0$

Find roots of quadratic equation with any method. ( formula method is attached)

x = 15

Present age of child = 15 years

present age of father = 45 years

Answer 2

Answer:

22.5 years

Step-by-step explanation:

father's age at the time of birth of a child =30 years

product= father age×son age

son age = Yyears

675=30×Y

Y =675÷30

=22.5years