Crime scene: 162 mystery solving puzzles to find out who the murderer is

Chapter 67 The Murderer
Because of Dale's murder, the three suspects, Adam, Brad and Cole, were questioned by the police at different times.Each of them made a statement, a total of three:
(1) Adam was innocent.

(2) Brad was telling the truth.

(3) Cole was lying.

Confession (1) was spoken first; Confessions (2) and (3) are not necessarily ordered according to the time of speech, but they are all for the confessions made before it.A confession made by each person is aimed at another suspect.The murderer was one of the three, and he made a false confession.

Who is the murderer among these three people?
【答案】第一种情况：(2)支持(1)；而(3)否定(2)，进而否定(1)。

In fact, the confession becomes:
① Brad: Adam is innocent.

② Cole: Adam is innocent.

③Adam: Adam is guilty.

If "Adam was guilty" is true, then Adam told the truth and was guilty.According to ②, this is impossible.If "Adam is innocent" is true, then Brad and Cole told the truth, and one of them is guilty.According to ③, this is also impossible.Therefore, A is impossible.

第二种情况：(3)否定(1)；而(2)支持(3)，进而否定(1)。事实上，供词变成了：

① Cole: Adam is innocent.

②Adam: Adam is guilty.

③Brad: Adam is guilty.If "Adam was guilty" is true, then Adam told the truth and was guilty.According to (2), this is not possible.If "Adam is innocent" is true, then Adam is innocent, and both Adam and Brad lied.Since it was Adam and Brad who lied, one of them was guilty.Since Adam is innocent (even though he lied), Brad must be the murderer.

(End of this chapter)