Question

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???​

Answer 1

Age of C

Answer:

Age of c = z = 36 years.

Explanation:

let assume age of a = x years

And age of b = y years

And age of c = z years

As Average age of a and b is 30 years

=> ( x + y ) / 2 = 30

=> x + y = 2 × 30

=> x + y = 60     ---------------eq(1)

As Average age of b and c is 32 years

=> ( y + z )/ 2 = 32

=> y + z = 32 × 2

=> y + z = 64    -----------------eq(2)

As Average age of c and a is 34 years

=> (x + z) /2 = 34

=> x + z = 34 × 2

=> x + z = 68   ------------------eq(3)

Now we have following three equations

x + y = 60     ---------------eq(1)

y + z = 64    -----------------eq(2)

x + z = 68   ------------------eq(3)

lets modified equation 2

y + z = 64

=> y = 64 -z

On substituting y = 64 -z in equation (1) we get

x + (64 - z ) = 60

=> x - z = 60 - 64

=> x - z = -4

=> x = z - 4

On substituting x = z - 4  in equation (3) we get

(z - 4) + z = 68

=> 2z - 4 = 68

=> 2z = 72

=> z = 72/2 = 36

Hence age of c = z = 36 years.

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