Question 1. Aftab tells his daughter, “Seven years ago, I was seven times as old as you we Chapter 3: Pair of Linear Equations in Two Variable Maths Class 10 solutions are developed for assisting understudies with working on their score and increase knowledge of the subjects. Question 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. is solved by our expert teachers. You can get ncert solutions and notes for class 10 chapter 3 absolutely free. NCERT Solutions for class 10 Maths Chapter 3: Pair of Linear Equations in Two Variable is very essencial for getting good marks in CBSE Board examinations
Solution:
Let
age of Aftab is represented by x
age of daughter is represented by y
Then Seven years ago,
age of Aftab = x -7
age of daughter = y-7
given that I was seven times as old as you were so we get
x - 7 = 7 ( y – 7 )
x – 7 = 7 y – 49
x- 7 y = - 49 + 7
x – 7 y = - 42 …(1)
x = 7 y – 42
plug y = 5,6 and 7 we get
x = 7 * 5 - 42 = 35 - 42 = - 7
x = 7 * 6 - 42 = 42 – 42 =0
x = 7 * 7 – 42 = 49 – 42 = 7
X | -7 | 0 | 7 |
Y | 5 | 6 | 7 |
three years from now ,
Age of Aftab = x +3
Age of daughter = y+3
Given that I shall be three times as old as you will be so we get
x + 3 = 3 (y + 3)
x + 3 = 3 y + 9
x -3 y = 9- 3
x -3 y = 6 …(2)
x = 3 y + 6
plug y = -2,-1and 0 we get
x = 3 * - 2 + 6 = -6+6 =0
x = 3 * - 1 + 6 = -3+ 6 = 3
x = 3 * 0 + 6 = 0 + 6 = 6
X | 0 | 3 | 6 |
y | -2 | -1 | 0 |
Algebraic representation
From equation (1) and (2)
x – 7 y = – 42 …(1)
x - 3 y = 6 …(2)
Graphical representation
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