Raju, Umesh and Sammi together score 190runs in a match. Their individual scores arein continued proportion. Umesh and Sammitogether score 10 runs more than Raju. Findtheir individual scores.
Answers
Given : Raju, Umesh and Sammi together score 190 runs in a match.
Their individual scores are in continued proportion.
Umesh and Sammi together score 10 runs more than Raju.
To Find: their individual scores.
Solution:
Raju, Umesh and Sammi together score 190 runs in a match.
R + U + S = 190
Umesh and Sammi together score 10 runs more than Raju.
U + S = R + 10
=> R + R + 10 = 190
=> R = 90
U + S = R + 10
=> U + S = 100
R : U : S
=> U² = RS
=> U² = 90S
=> U² = 90 (100 - U)
=> U² + 90U - 9000 = 0
=> U² + 150U - 60U - 9000 = 0
=> (U + 150)(U - 60) = 0
=> U = 60 as runs can not be negative
S = 40
Individual score:
Raju = 90
Umesh = 60
Sammi = 40
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