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Runs scored b...

Question

Runs scored by Rahul in a match are $38$ more than that faced by Virat. If together they have scored $144$ runs and the runs scored by Rahul are $18$ more than those faced by Virat. Find the number of runs scored by Rahul.

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Solution

$R u n s s c o r e d w h e n b o t h p l a y e r s w e r e a r e 144 R u n s s c o r e d b y R o h i t = x R u n s s c o r e d b y V i r a t = y S o, f r o m t h e q u e s t i o n x + y = 144 a n d x - y = 18 f r o m h e r e w e g e t x = 81 b u t R o h i t s c o r e s 20 r u n s m o r e o f t e n t h i s s c o r e s o, x = 81 + 20 x = 101. A n s .$

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Q. India is playing against 8 countries in a mini world cup. Only Sachin, Rahul, Ganguly and Yuvraj are getting a chance to bat. Runs scored by them against some of the countries are given below in the table.

Additional information is given below.
(a) Runs scored by Rahul is at least 40% of the total.
(b) Runs scored by Sachin must be greater than or equal to 30% of the runs scored by Rahul and must be less than or equal to 90% of the runs scored by Ganguly.
(c) Runs scored by Ganguly is greater than or equal to 60% of the runs scored by Yuvraj.

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