Aftab tells his daughter, “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.” (Isn’t this interesting?) Represent this situation algebraically and graphically.

Let the present age of Aftab be x.

And, present age of his daughter = y

Seven years ago,

Age of Aftab = x − 7

Age of his daughter = y − 7

According to the question,

Three years hence,

Age of Aftab = x + 3

Age of his daughter = y + 3

According to the question,

Therefore, the algebraic representation is

For ,

The solution table is

x	− 7	0	7
y	5	6	7

For ,

The solution table is

x	6	3	0
y	0	− 1	− 2

The graphical representation is as follows.