Question:
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.

Answer:

Let the present age of Aftab and his father be x years and y years respectively.

According to question,

7 years ago, we have

x – 7 = 7 (y - 7)

Or, x – 7 = 7y – 49

Or, x – 7y = - 42 …………… (1)

3 years from now, we have

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

Or, x + 3 = 3y + 9

Or, x – 3y = 6 ……………. (2)

Graphical Representation

From equation (1), x – 7y = -42

Table value of x and y

x:	0	-42	-35
y:	6	0	1

From equation (2), x – 3y = 6

Table value of x and y

x:	0	9	6
y:	-2	1	0

Plotting the tables on the graph:

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Question:
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.

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Question: 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.

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Popular questions of class 10 Mathematics

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Question:
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.