Question

.. Ravish tells his daughter Aarushi," seven years ago, I was seven times as old as you were". If present ages of Aarushi and Ravish are x and y respectively, represent this situation algebraically and graphically?​

Answer 1

If present age of Aarushi = x years

and present age of Ravish = y years

Their ages seven years ago will be

Aarushi = (x− 7) years

Ravish = (y− 7) years

Also their ages three year from now will be

Aarushi = (x+ 3) years

Ravish = (y+ 3) years

According to question

y− 7= 7(x− 7) and y+ 3= 3(x+ 3)

⇒ y− 7= 7x− 49 y+ 3= 3x+ 9

⇒ 7x− y− 42= 0 3x− y+ 6= 0

For representing graphically task will be

x 7 8 9

y 7

14 21

x

1 2 3

y 9 12

15