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.” Is not this interesting? Represent this situation algebraically and graphically.

Question

Aftab tells his daughter, &#x2018;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.&#x201D; Is not this interesting? Represent this situation algebraically and graphically.

Philoid · Accepted Answer

Let the present age of father be x and present age of daughter be y.

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.”

∴ x – 7 = 7(y – 7)

⇒ x – 7y + 42 = 0

Also, x + 3 = 3(y + 3)

⇒ x – 3y – 6 = 0