-
by
The average age of A and B is 30 years that of B and C is 32 years and the average age of C and A is 34 years. the age of C is?
- 33 years
- 34 years
- 35 years
- 36 years
As Average age of a and b is 30 years
=> ( a + b ) / 2 = 30
=> a + b = 60 –eq(1)
As Average age of b and c is 32 years
=> ( b + c )/ 2 = 32
=> b + c = 64 –eq(2)
As Average age of c and a is 34 years
=> (c + a) /2 = 34
=> c + a = 68 –eq(3)
by equaction 2
b + c= 64
=> b = 64 -c
using –1
a+ (64 – c ) = 60
=> a = c – 4
using 3
(c – 4) + c = 68
=> c = 72/2 = 36
Hence age of c= 36 years.