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'. (Isn’t this interesting?) Represent this situation algebraically and graphically.
(i) 10 students of Class X took part in Mathematics quiz. If the number of girls is 4 more than the number of boys, find the number of boys and girls who took part in the quiz.
3x + 2y = 5 ; 2x - 3y = 7
Hence, the given lines are intersecting. So, the given pair of linear equations has exactly one solution and therefore it is consistent.