1. Ankur tells his niece, “Seven years ago, I was seven times of your age as you were then. After three years, I will be three times of your age from now.” Represent given condition algebraically and graphically.

Let the present age of Ankur and his niece be x and y respectively.

Seven years ago,

Age of Ankur and

Age of his niece

According to question,

⇒   ……… (i)

After three years from the present age, we get

⇒ ………..(ii)

Represnt equations (i) and (ii) algebraically.

To represent these equations graphically we need at least two solutions for each (i) and (ii).

And let’s put them in a table for each:

From equation (i),

x

x

From equation (ii),

Equation (i) and (ii) can be plotted in a graph as below: