Access Answers to NCERT Class 10 Maths Chapter 3 – Pair of Linear Equations in Two Variables Exercise 3.1 Page: 44 1. 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. Solutions: Let the present age of Aftab be ‘x’. And, the present age of his daughter be ‘y’. Now, we can write, seven years ago, Age of Aftab = x-7 Age of his daughter = y-7 According to the question, x−7 = 7(y−7) ⇒x−7 = 7y−49 ⇒x−7y = −42 ………………………(i) Also, three years from now or after three years, Age of Aftab will become = x+3. Age of his daughter will become = y+3 According to the situation given, x+3 = 3(y+3) ⇒x+3 = 3y+9 ⇒x−3y = 6 …………..…………………(ii) Subtracting equation (i) from equation (ii) we have (x−3y)−(x−7y) = 6−(−42) ⇒−3y...
Comments
Post a Comment