# 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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