Question

average age of Aand B is 30 years ,that of Band C is 32 years and the average age of C and A is 34 years .the average age of C IS ?

Answer 1

Answer:-

The average age of A and B is 30 years, that of B and C is 32 years, and the average ages of C and A is 34 years. What is the age of C?

Average age of (A+B/2) =30 yrs

(A+B)=60 yrs…….(1)

Average age of (B+C/2)=32 yrs

(B+C)=64 yrs………(2)

Average age of (C+A/2)=34 yrs

(C+A)=68 yrs……..(3)

Adding equation 1, 2, and 3 we get,

2(A+B+C)=192

(A+B+C)=96…….(4)

Subtracting equation (1) from (4) we get,

(A+B+C)- (A+B) =96–60 =36 yrs

C=36 yrs

The age of C is 36 years