In a match between Mumbai Indians and Rajasthan Royals, Rajasthan Require 165 runs to win off 20 overs.
However that is not the question.
At a certain period of time, When x overs are left, The Rajasthan Royals require y runs to win. If the RR (Rajasthan Royals. ) Score 3 runs in the next over, The run rate Increases by 1. If the required run rate when x overs are left is 10 r.p.o, Find x + y
Details and Assumptions
Run rate= N u m b e r o f o v e r s R u n s R e q u i r e d
Rajasthan Royals and Mumbai Indians are IPL (Indian Premier league) Teams.
r.p.o= Runs per over. (Unit of run rate)
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Why U always copy my solution? On a brighter side Great minds think alike! Hi5! :D
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I didn't copy :/ You have wrongly used the definition of runrate (you have used its reciprocal). -_-
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But i asssumed them to be the different variables first -_- Like, I interchanged variables.
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@Mehul Arora – You have r u n s o v e r s -_-
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@Nihar Mahajan – Check it first. -_- Sorry for the late reply, Had slept.
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@Mehul Arora – Now its correct... -_-
@Mehul Arora – So u mean 8 runs required in 8 0 overs ... -_-
Let The overs remaining =y
Let the Runs required=x
Therefore,
y x = 1 0 . . . . ( 1 )
And After 1 over, Since the run rate becomes 11 (10+1),
y − 1 x − 3 = 1 1 . . . . . ( 2 )
Now, From 1, We have x = 1 0 y
Substituting, We get,
1 0 y − 3 = 1 1 ( y − 1 )
1 0 y − 3 = 1 1 y − 1 1
y = 8
Now Since x=10y, x = 8 0
Therefore, x + y = 8 8
Cheers! :D
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By 1 s t condition ,
x y = 1 0 ⇒ y = 1 0 x … ( 1 )
By 2 n d condition ,
x − 1 y − 3 = 1 0 + 1 ⇒ x − 1 y − 3 = 1 1 ⇒ y − 3 = 1 1 x − 1 1 ⇒ 1 1 x − y = 8 ⇒ 1 1 x − 1 0 x = 8 [Using (1)] ⇒ x = 8 , y = 8 0 , x + y = 8 8