Distribute $270 into Three Parts So That the First Part $\text { twice }$

Multiple Choice

Distribute $270 into three parts so that the first part will be $\text { twice }$ as large as the second, and the third part will be $\text { four times }$ as large as the sum of the other two.

A) First part = $32, Second part = $16, Third part = $222
B) First part = $46, Second part = $23, Third part = $201
C) First part = $38, Second part = $19, Third part = $213
D) First part = $39, Second part = $21, Third part = $210
E) First part = $36, Second part = $18, Third part = $216