During an ODI match, Hardik, Rishabh, Prithvi,
Ajinkya and Suresh scored an average of 52 runs.
Ajinkya scored 12 more than Suresh. Suresh scored
14 fewer than Hardik. Rishabh scored 10 less than
as many as Ajinkya and Suresh combined; and
Rishabh and Prithvi scored 135 runs between them.
How many runs did Prithvi score?
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Answer:
prithvi scored 93 runs
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Runs scored by prithvi = 100.33
Given that the average runs of Hardik, Rishabh, Prithvi, Ajinkya and Suresh is 52.
Total runs scored = 52 × 5
= 210
let the runs scored by Ajinkya be x and that of Suresh be y.
Ajinkya scored 12 more than Suresh , x = y +12
runs scored by hardik = y + 14
runs scored by rishabh = x + y -10
runs scored by prithvi and rishav combined = 135
y
runs scored by prithvi = 135 - x - y +10
= 145 - x -y
total runs = 210
=> x + y + y + 14 +135 = 210
=> y +12 + y +y +149 = 210 [x = y+12]
=> 3y = 210 - 161
=> 3y = 49
=> y = 49/3
Runs scored by prithvi = 145 - x -y
= 145 - 2y -12
= 133 - 98/3
= 100.33
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