in a cricket match A, Band C together scores 108runs ,B and C together 90 and A and C together 51.find the number of runs score by each.
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Step-by-step explanation:
total score of all the three teams A B and C = 108
As per equation,
score of team A +B = 90
score of team C:-
A + B +C = 108
90+C = 108
C = 108 - 90
C = 18
score of team A+ C = 51
score of team B:-
A + B + C = 108
B + 51 = 108
B = 108 - 51
B = 57
score of team B + C = 57 + 18 = 75
score of team A:-
A + B + C = 108
A +75 = 108
A = 108 - 75
A = 33
therefore, A= 33, B= 57 & C= 18
Verify:-
A + B + C = 108
33 + 57 +18 = 108
108 = 108
LHS = RHS
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