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 ". Represent this situation algebriacally and graphically

Answer 1

let present age of aftab=x
present age of daughter =y
By condition
seven years ago
the age of aftab=x-7
the age of daughter =y-7
x-7=7(y-7)
x-7=7y-49
x-7y=-42-------------(1)
By condition
after three years ago
the age of aftab=x+3
the age of daughter =y+3
x+3=3(y+3)
x+3=3y+9
x-3y=6--------------(2)
x=6+3y
sub x=6+3y in (1)
6+3y-7y=-42
6-4y=-42
-4y=-42-6
-4y=-48
y=12
sub y=12 in x=6+3y
x=6+3(12)
x=42