Class 10 Mathematics ex.no.3.1 Q,no,1
Linear Equation
Exercise 3.1 (NCERT)
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.” Represent this situation algebraically and graphically.
Solution: Let us assume Aftab’s current age = x and his daughter’s current age = y
Seven years ago: Aftab’s age = x - 7 and daughter’s age = y - 7
As per question;
x – 7 = 7(y – 7)
Or, x – 7 = 7y – 49
Or, x = 7y – 49 + 7
Or, x = 7y – 42
Or, 7y – x – 42 = 0 ……(1)
9 12 15 18 21 24 27 30 33 36 39 42 45
y 1 2 3 4 5 6 7 8 9 10 11 12 13
The following graph is plotted for the given pair of linear equation
Exercise 3.1 (NCERT)
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.” Represent this situation algebraically and graphically.
Solution: Let us assume Aftab’s current age = x and his daughter’s current age = y
Seven years ago: Aftab’s age = x - 7 and daughter’s age = y - 7
As per question;
x – 7 = 7(y – 7)
Or, x – 7 = 7y – 49
Or, x = 7y – 49 + 7
Or, x = 7y – 42
Or, 7y – x – 42 = 0 ……(1)
9 12 15 18 21 24 27 30 33 36 39 42 45
y 1 2 3 4 5 6 7 8 9 10 11 12 13
The following graph is plotted for the given pair of linear equation
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