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.
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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.
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0
Answer:
hope the above image helps you
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