Problem Solving

Set \(S\) contains all the integers from \(10\) to \(99.\) \(S_1,\) a subset of \(S,\) contains all the numbers of \(S,\) in which both the digits are even. \(S_2,\) also a subset of \(S,\) contains all the numbers of \(S,\) in which both the digits are odd. What is the ratio of the sum of all elements in \(S_1\) to the sum of all elements in \(S_2?\)

A. \(\dfrac{108}{275}\)

B. \(\dfrac{216}{275}\)

C. \(\dfrac23\)

D. \(\dfrac{275}{216}\)

E. \(\dfrac32\)

Answer: B

Source: e-GMAT