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NextPair of linear equations in two variables CBSE NCERT Solutions
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 be." (Isn't this interesting?) Represent this situation algebraically and graphically.
Answer:
Solution: Let the present age of Aftab and his daughter be x years and y years respectively.
Seven years ago, the age of Aftab is (x-7) years and the age of his daughter is (y-7) years.
According to the given condition,
Thus, these given conditions can be algebraically represented as x - 7y = - 42 .
Again, Three years hence, the age of Aftab will be (x + 3) and the age of his daughter will be (y + 3).
According to the given condition,
(x + 3) = 3(y + 3)
x + 3 = 3y + 9
x - 3y = 6
Thus, this given conditions can be algebraically represented as x - 3y = 6.
Three solutions of equation x = – 42 + 7y can be written in a table as follows:
x |
-7 |
0 |
7 |
y |
5 |
6 |
7 |
Three solutions of equation x = 6 + 3y can be written in a table as follows:
x |
6 |
3 |
0 |
y |
0 |
-1 |
-2 |
The graphical representation is as follows:
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