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.

**Solution:**

Let present age of Aftab = x years

Let present age of Aftab's daughter = y years

7 years ago, age of Aftab = (x-7) years

7 years ago, age of Aftab's daughter = (y-7) years

**According to given condition, we have**

(x-7) = 7(y-7)

**(1)**

After 3 years from present, age of Aftab = (x+3) years

After 3 years from present, age of Aftab's daughter = (y+3) years

**According to given condition, we have**

(x+3) = 3(y+3)

** (2)**

So, we have equations **(1)** and **(2)**

and which represent given situation algebraically.

To represent them graphically, we will find 3 sets of points which lie on the lines.

We plot the points for both of the equations and it is the graphical representation of the given situation.

**(Blue)** and **(Red)**