Question

sohan tells his son rohan that after 6 years his age will be three times the age of rohan and three years ago he was nine times as old as Rohan. represent this situation algebraically and graphically ​

Answer 1

Let be the age of sohan = x

so,

According to the question

Let the age of sohan= 6x

=} x = 6/3

=} x = 2

At present the age of sohan = 9×2

=} 18 answer

Hope it will help you

Answer 2

The Age of Rohan is 6 years and age of Sohan is 30 years

Step-by-step explanation:

Let the age of Rohan be x and age of Sohan be y

Rohan's age after 6 years = x+6

Sohan's age after 6 years = y+6

Sohan tells his son rohan that after 6 years his age will be three times the age of rohan

y+6=3(x+6)

y+6=3x+18

3x-y+12=0

Rohan's age 3 years ago = x-3

Sohan's age 3 years ago = y-3

Three years ago he was nine times as old as Rohan.

y-3=9(x-3)

y-3=9x-27

9x-y-24=0

So, Equation 1 : 3x-y+12=0

Equation 2: 9x-y-24=0

Plot the lines on the graph

Equation 1 : 3x-y+12=0 ---- Black

Equation 2: 9x-y-24=0 --- Blue

Intersection point = (x,y)=(6,30)

Hence The Age of Rohan is 6 years and age of Sohan is 30 years

#Lear more:

Rohan was 4 times as old as his son 6 years ago .After 6 years rohan will be twice as ols as his son what was the sons present age

https://brainly.in/question/14278770