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". Represent this situation algebraically and graphically

Answer 1

Answer:-

Let Aftab present age be x years.

And his daughter present age be y years.

According to first condition we get,

x - 7= 7( y-7 )

x - 7 = 7y - 49

x - 7y + 42 = 0 ---(1)

According to second conditions we get

x + 3 = 3(y + 3)

x + 3 = 3y + 9

x - 3y - 6 = 0 ---(2)

The Given situation can be represent algebricallh as follows

x - 7y + 42 = 0

• x = 0, y = 6
• x = 7, y = 7
• x = -7,y = 5

x -3y -6 = 0

• x = 0, y = -2
• x = 6, y = 0
• x 3, y = -1

Answer 2

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