Q.4] The average age of A and B is 12 years, B and C is 9 years and that of C and Dis 23 years. If the
average age of A, B and C is 13 years, find the age of D.
Answers
its the answer
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SOLUTION
GIVEN
The average age of A and B is 12 years, B and C is 9 years and that of C and Dis 23 years. If the
average age of A, B and C is 13 years
TO DETERMINE
The age of D.
EVALUATION
Here it is given that The average age of A and B is 12 years
∴ Age of A + Age of B = 24 - - - - - (1)
The average age of B and C is 12 years
∴ Age of B + Age of C = 18 - - - - - (2)
The average age of C and D is 23 years
∴ Age of C + Age of D = 46 - - - - - (3)
The average age of A, B and C is 13 years
∴ Age of A + Age of B + Age of C = 39 - - - - (4)
Equation (4) - Equation (1)
Age of C = 15
From Equation (3) we get
15 + Age of D = 46
∴ Age of D = 31
FINAL ANSWER
Age of D = 31 years
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