# John tells

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

John 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 – 7 = 7y – 49

x 7y + 42 = 0

x = 7y – 42

x = 7(y – 6) [1]

The coordinates satisfying above equation are

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

x + 3 = 3y + 9

x 3y 6 = 0

x = 3y + 6

x = 3(y + 2) [2]

The graph of both the equation is the required graphical representation and the equations [1] and [2] are two required algebraic representations.

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