Integers \(a\) and \(b\) are consecutive multiples of \(6.\) Integers \(x\) and \(y\) are consecutive multiples of \(8\)

Integers \(a\) and \(b\) are consecutive multiples of \(6.\) Integers \(x\) and \(y\) are consecutive multiples of \(8.\) In terms of \(a, b, x,\) and \(y,\) what is the ratio of the average of \(a\) and \(b\) and the average of \(x\) and \(y?\)

A. \(\dfrac{x+y}{a+b}\)

B. \(\dfrac{a+b}{x+y}\)

C. \(\dfrac{a+\frac{b}4}{y-\frac{x}4}\)

D. \(\dfrac{a+\frac{b}4}{y-\frac{x}2}\)

E. \(\dfrac12\dfrac{a+b}{x+y}\)

Answer: B

Source: Princeton Review