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?
Answer & explanation
Correct answer: option 1
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