average age of five boy 13 year one more boy joins them and the average age become 12 year the age of the boy how joins the last is
Answers
Answered by
8
- 5 boys = 13 × 5 = 65 years
- when 1 boy in added ,
- 6 boys = 6×12 = 72 years
- age of last boy joined = 72 - 65 = 7 years
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Answered by
114
Given:-
- Average age of 5 boys = 13 years where one more boy joins in 5 boys
- Average age of 6 boys = 12 years
To Find:-
- What was the age of the last boy who joins ?
Solution:-
Let the ages of 6 boys be A,B,C,D,E,F
Then,
- Average age of 5 boys = 13 years
➤ A+B+C+D+E / 5 = 13
➤ A+B+C+D+E = 13 × 5
➤ A+B+C+D+E = 65 years
Now, Average age of 6 boys is 12 years
➤ A+B+C+D+E+F/6 = 12
➤ A+B+C+D+E+F = 12 × 6
➤ A+B+C+D+E+F = 72 years
Subtracting the average age of 5 boys with average age of 6 boys,to find the age of last boy
➤ F = 72 - 65
➤ F = 7 years
Therefore,
- The age of last boy = F = 7 years
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