Bobby and Bunny together gave Rs.105. Bobby has Rs.100 more than Bunny. How much does Bunny have?
Answer
578.4k+ views
Hint:
Consider the amounts of both of them. We will get two equations from the given statements or questions. Then we will solve them to get the amount of both of them.
Complete step by step solution:
Let the amount of Bunny be x and that of Bobby be y.
Then from given question we get,
\[x + y = 105\]
But Bobby has Rs.100 more than Bunny
Thus we get,
\[y = x + 100\]
Now from this last equation we will put this value of y in first equation,
\[x + x + 100 = 105\]
Thus on solving it,
\[ \Rightarrow 2x = 105 - 100\]
\[ \Rightarrow 2x = 5\]
Thus dividing 5 by 2 we get,
\[ \Rightarrow x = \dfrac{5}{2}\]
\[ \Rightarrow x = 2.5\]
This is the amount Bunny has \[ \Rightarrow x = 2.5\].
Now in order to find the amount Bobby has let’s use first equation
\[y = 105 - 2.5\]
\[ \Rightarrow y = 102.5\]
This is the amount Bobby has Rs.102.5
Note:
This is a very simple question to solve. Only the point where students may go wrong is to get exactly who has more amounts with him. Just to tally your answer we will add the amount both of them having and that should be 105!
Consider the amounts of both of them. We will get two equations from the given statements or questions. Then we will solve them to get the amount of both of them.
Complete step by step solution:
Let the amount of Bunny be x and that of Bobby be y.
Then from given question we get,
\[x + y = 105\]
But Bobby has Rs.100 more than Bunny
Thus we get,
\[y = x + 100\]
Now from this last equation we will put this value of y in first equation,
\[x + x + 100 = 105\]
Thus on solving it,
\[ \Rightarrow 2x = 105 - 100\]
\[ \Rightarrow 2x = 5\]
Thus dividing 5 by 2 we get,
\[ \Rightarrow x = \dfrac{5}{2}\]
\[ \Rightarrow x = 2.5\]
This is the amount Bunny has \[ \Rightarrow x = 2.5\].
Now in order to find the amount Bobby has let’s use first equation
\[y = 105 - 2.5\]
\[ \Rightarrow y = 102.5\]
This is the amount Bobby has Rs.102.5
Note:
This is a very simple question to solve. Only the point where students may go wrong is to get exactly who has more amounts with him. Just to tally your answer we will add the amount both of them having and that should be 105!
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