India vs Pak

Algebra Level 4

India after finishing their batting , challenged a target of \(300\) runs in \(50\) overs against Pakistan in cricket World Cup \(2015\).Now , to win the match , Pakistan had to do \(301\) runs in \(50\) overs. However , Pakistan did not manage to catch upto \(301\) runs but all their players were out when they made \(224\) runs. At that time , \(3\) overs were still remaining. Let \(R_1\) be the required run-rate for Pakistan to win the match by scoring the runs to win the match runs in 3 overs, \(R_2\) was their current run-rate .

If \(R_1 - R_2\) can be expressed as \(\frac{a}{b}\) where , \(a , b\) are co-prime positive integers , Find \(a + b\)

\(Details\) \(And\) \(Assumptions:\) \(RunRate = \frac{Number,of,runs,made}{Overs,consumed}\)

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