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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
Let the present age of Aftab and his daughter be x and y respectively.
Seven years ago,
Age of Aftab = x - 7
Age of his daughter = y - 7
According to the given condition,
| x | 0 | -42 | -35 |
| y | 6 | 0 | 1 |
Three years later,
Age of Aftab = x + 3
Age of his daughter = y + 3
According to the given condition,
| x | 6 | 0 | 9 |
| y | 0 | -2 | 1 |
Thus the algebraic equations are and
The coach of a cricket team buys 3 bats and 6 balls for Rs. 3900. Later, she buys another bat and 3 more balls of the same kind for Rs. 1300. Represent this situation algebraically and geometrically.
Let the cost of a bat and a ball be Rs x and Rs y respectively.
The given conditions can be algebraically represented as:
3x + 6y = 3900
x + 2y = 1300
| x | 300 | 100 | -100 |
| y | 500 | 600 | 700 |
| x | 300 | 100 | -100 |
| y | 500 | 600 | 700 |
The graphical representation is as follows:
The cost of 2 kg of apples and 1kg of grapes on a day was found to be Rs. 160. After a month, the cost of 4 kg of apples and 2 kg of grapes is Rs. 300. Represent the situation algebraically and geometrically.
Let the cost of 1 kg of apples and 1 kg grapes be Rs. x and Rs. y.
The given condtions can be algebraically represented as:
| x | 50 | 60 | 70 |
| y | 60 | 40 | 2 |
| x | 70 | 80 | 75 |
| y | 10 | -10 | 0 |
The graphical representation is as follows:
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