The average of numbers A and B is 16. The average of numbers B and C is 40. What is the difference between C and A?

48

Average = $\frac{sum}{2}$

Average of A and B = $\frac{A+B}{2}$

⇒ 16   =  $\frac{A+B}{2}$

⇒ A + B = 32     ---------(i)

Average of B and C =  $\frac{B+C}{2}$

⇒ 40   =  $\frac{B+C}{2}$

⇒ B + C = 80    --------(ii)

Subtracting  eq(i) from (ii),

C - A = 48