Raj and Ranjan each has certain no.of chocolates.raj says to Ranjan ,if you give me 6 of your chocolates, I will have twice the no.of chocolates left of you .Ranjan replies,if you give me 4 of your chocolates, I will have the same no.of chocolates as left with you . represent the situation algebraically and graphically.
Answers
Let assume that
Raj has 'x' chocolates
and
Ranjan has 'y' chocolates
So,
According to statement,
Raj says to Ranjan ,if you give me 6 of your chocolates, I will have twice the no.of chocolates left of you .
According to statement again,
Ranjan replies to Raj, if you give me 4 of your chocolates, I will have the same no.of chocolates as left with you.
Consider Equation (1),
Substituting 'x = 0' in the given equation, we get
Substituting 'y = 0' in the given equation, we get
Hᴇɴᴄᴇ,
➢ Pair of points of the given equation are shown in the below table.
➢ Now draw a graph using the points (0 , 9) & (- 18 , 0)
➢ See the attachment graph.
Consider Equation (2),
Substituting 'x = 0' in the given equation, we get
Substituting 'y = 0' in the given equation, we get
Hᴇɴᴄᴇ,
➢ Pair of points of the given equation are shown in the below table.
➢ Now draw a graph using the points (0 , - 8) & (8 , 0)
➢ See the attachment graph.
From graph, we concluded that x = 34 and y = 26.
Hence,
- Raj has 34 chocolates
- Ranjan has 26 chocolates.