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ICSE Class 6 Answered

The mean age of 6 person is 14.5 years. The mean age of four of them 13.25 years.
Asked by sudheerchakravarti86 | 24 Jan, 2020, 12:51: PM
answered-by-expert Expert Answer
Question:
 
The mean age of 6 person is 14.5 years. The mean age of four of them 13.25 years. If the age of fifth person is 16 years, find the age of sixth.
 
Solution:
begin mathsize 16px style Here comma
straight x subscript 1 space plus space space straight x subscript 2 space plus space straight x subscript 3 space plus space straight x subscript 4 space plus space straight x subscript 5 space plus space straight x subscript 6 space equals space 14.5 space cross times space 6 space equals space space 87
straight x subscript 1 space plus space space straight x subscript 2 space plus space straight x subscript 3 space plus space straight x subscript 4 space equals space 13.25 cross times 4 space equals space 53
rightwards double arrow straight x subscript 5 space plus space straight x subscript 6 space equals space 87 space minus space 53 space equals space 34
rightwards double arrow space straight x subscript 6 space equals space 34 space minus space 16 space equals space 18 space... space left parenthesis straight x subscript 5 space equals space 16 right parenthesis


end style
 
Thereofore, the age of sexth person is 18 years.
Answered by Yasmeen Khan | 24 Jan, 2020, 05:58: PM
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