Question

Average age of A and B is 30, Average age of B and C is 32 and average age of C and A is 34. find the age of C?

Answer 1

Average age of A and B is 30, Average age of B and C is 32 and average age of C and A is 34. find the age of C?

The difference between the ages of A and C is 8 years. Step-by-step explanation: Given that the average age of A and B is 30 years and average age of B and C is 26 years.

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Answer 2

Answer: 36 years

Step-by-step explanation:

Let the age of

A be  = a

B be = b

C be = c

Average = $\frac{Sum \ of \ observations}{No. \ of \ observations}$

Average age of A and B = 30 = $\frac{a + b}{2}$

∴ a + b = 60 ... (i)

Average age of B and C = 32 = $\frac{b+c}{2}$

∴ b + c = 64 ... (ii)

Average age of C and A = 34 = $\frac{a+c}{2}$

∴ a + c = 68 ... (iii)

Now, we have three equations - (i), (ii) and (iii).

(i) a + b = 60

(ii) b + c = 64 ; b = 64 - c

(iii) a + c = 68 ; a = 68 - c

Now, put the values of a and b in the first equation.

a + b = 60

(68 - c) + (64 - c) = 60

68 - c + 64 - c = 60

132 - 2c = 60

132 - 60 = 2c

72 = 2c

2c = 72

∴ c = 72/2 = 36

∴ age of C = 36 years