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 present ages of Aarushi and Ravish are x and y years respectively, represent this situation algebraically as well as graphically.

Question

Ravish tells his daughter Aarushi, &#x201C;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; If present ages of Aarushi and Ravish are x and y years respectively, represent this situation algebraically as well as graphically.

Philoid · Accepted Answer

Given, present ages of Aarushi and Ravish are x and y years respectively.

Eq1: (y – 7) = 7(x – 7 )

⇒ y = 7x – 42 which passes through (0, -42) and (6, 0)

Eq2: (y + 3) = 3(x + 3)

⇒ y = 3x + 6 which passes through (0, 6) and (-2, 0)