Question

Question 1:
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 1

Answer:

Answer 1:

Let the present age of Aftab be x.

And, present age of his daughter = y

Seven years ago,

Age of Aftab = x − 7

Age of his daughter = y − 7

According to the question,

( x – 7 ) = 7 ( y – 7 )

⟹ x – 7 = 7 y – 49

⟹ x – 7y = – 42 ..................... (1)

Three years hence,

Age of Aftab = x + 3 Age of

his daughter = y + 3

According to the question,

Therefore, the algebraic representation i

The solution table is

x − 7 0 7

y 5 6 7

For x – 3 y = 6 or

The solution table is

x 6 3 0

y 0 − 1 − 2

The graphical representation is as follows.

Answer 2

Answer:

hope the above image helps you