The average age of A and B is 20 years. If C were to replace A, average age would be 19 and if C were to replace B, the average age would be 21. The ages of C,B and A respectively are:
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Concept:
Average=sum of all observations/number of all observations
Given:
The average of A and B is =20
The average of B and C is =19
The average of A and C is =21
To find:
The ages of C, B, and A respectively.
Solution:
The average of A and B is =20
The average of B and C is =19
The average of A and C is =21
Here, we know the formula that is,
Average=sum of all observations/number of all observations
So, A and B = 2×20
=40
B and =2×19
=38
A and C=2×21
=42
Now,
A+B, B+C, A+C =120
2(A+B+C) =120
A+B+C = 120/2
A+B+C =60
B+C =38
A =60-38
=22
A +C=42
B=60-42
=18
A + B=40
C =60-40
=20
∴ The ages of A, B, and C are respectively 22, 18, 20
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