Question

Form the pair of linear equations from the following information: Sachin 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."

Answer 1

Let Sachin and his daughter's present

age be x and y years

$\Rightarrow x-7=7\times (y-7)\Rightarrow x-7=7y-49$

and $x+3=3\times (y+3)\Rightarrow x+3=3y+9$

$\Rightarrow x=7y-42$ and $x=3y+6$

is the required pair of linear equations