Question

EXERCISE 3.1
1. Aftab tells his daughter, "Seven years ago, I was seven times as old as you were
Also, three years from now, I shall be three times as old as you will be." (Isa
interesting?) Represent this situation algebraically and graphically

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Answer 1

let the present age of aftab be x and that of her daughter be y

according to the question,

x-7=7(y-7)

x-7=7y-49.........(1)

also,

x+3=3(y+3)

x+3=3y+9

x=3y+6

placing it in equation (1)

3y+6-7=7y-49

4y=48

y=12

x=42

therefore, age of Aftab=42 years

age of his daughter=12 years

Answer 2

Answer.

Let the age of Aftab =years

Let the age of his daughter =y years

A. T. Q

1st condition

X-7=7(y-7)

X-7=7y-49

X-7y=-42.......equation (1)

2nd condition

X+3=3(y+3)

x+3=3y+9

X-3y=9-3

X-3y=6...equation (2)

for graphical representation

x-7y=-42

X =0 ,-42

Y=6,0

X-3y=6

X=0,6

Y=-2,0