Question

Aftab tells his daughter seven years ago I was 7 times as old as you were then also three years from now I shall be 3 times as old as you will be represent this situation algebraically and graphically......​

Answer 1

Step-by-step explanation:

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Answer 2

Let present age of Aftab be x

And, present age of daughter is represented byy

Then Seven years ago,

Age of Aftab = x -7

Age of daughter = y-7

According to the question,

(x - 7) = 7 (y – 7 )

x – 7 = 7 y – 49

x- 7y = - 49 + 7

x – 7y = - 42 …(i)

x = 7y – 42

Putting y = 5, 6 and 7, we get

x = 7 × 5 - 42 = 35 - 42 = - 7

x = 7 × 6 - 42 = 42 – 42 = 0

x = 7 × 7 – 42 = 49 – 42 = 7

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Three years from now ,

Age of Aftab = x +3

Age of daughter = y +3

According to the question,

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

x + 3 = 3y + 9

x -3y = 9-3

x -3y = 6 …(ii)

x = 3y + 6

Putting, y = -2,-1 and 0, we get

x = 3 × - 2 + 6 = -6 + 6 =0

x = 3 × - 1 + 6 = -3 + 6 = 3

x = 3 × 0 + 6 = 0 + 6 = 6

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Algebraic representation

From equation (i) and (ii)

x – 7y = – 42 …(i)

x - 3y = 6 …(ii)