Question

Ravish tells his daughter Aarushi, ‘ Seven years
ago, I was seven times as old as you were then
also, three years from now, I shall be three times as
old as you will be.’ If the present ages of Aarushi
and Ravish are x and y years respectively,
represent this situation algebraically as well as
graphically.

Answer 1

Step-by-step explanation:

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Answer 2

$\red{\boxed{{Answer}}}$

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

$y - 7 = 7(x - 7) \: and \: y + 3 = 3(x + 3$

$y - 7 = 7x - 49 \: and \: y + 3 = 3x + 9$

$\implies{\red{\boxed{x - y - 42 = 0 \: and \: 3x - y + 6 = 0}}}$

For Graphical representation Refer Attachment.