Average age of people in room A and room B is 35 and 30 years, respectively. If the overall average age of people in both the rooms is 31 years, and there are 3 more people in room B than in room A, how many people are there in room B?
Answers
Answer:
27 in room b and 38 in room a
Given : Average age of people in room A and room B is 35 and 30 years, respectively.
overall average age of people in both the rooms is 31 years,
there are 3 more people in room B than in room A,
To Find : how many people are there in room B
Solution :
Let say People in room B are = P
People in room A are = P - 3
Total people in Both rooms = P + P - 3 = 2P-3
Average age of people in room A = 35
People = P - 3
Age in room A = 35(P - 3) = 35P - 105
Average age of people in room B = 30
People = P
Age in room B = 30P
Total Age = 35P - 105 + 30P = 65P - 105
overall average age of people in both the rooms = 31
Total people in Both rooms = 2P-3
Total age = 31(2P - 3) = 62P - 93
65P - 105 = 62P - 93
=> 3P = 12
=> P = 4
People in room B are 4
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