How does Matthew 16:16-17 agree with John 1:40-41?

Matthew 16 (Darby)
16 And Simon Peter answering said, *Thou* art the Christ, the Son of the living God.
17 And Jesus answering said to him, Blessed art thou, Simon Bar-jona, for flesh and blood has not revealed [it] to thee, but my Father who is in the heavens.

John 1 (Darby)
35 Again, on the morrow, there stood John and two of his disciples.
36 And, looking at Jesus as he walked, he says, Behold the Lamb of God.
37 And the two disciples heard him speaking, and followed Jesus.
38 But Jesus having turned, and seeing them following, says to them, What seek ye? And *they* said to him, Rabbi (which, being interpreted, signifies Teacher), where abidest thou?
39 He says to them, Come and see. They went therefore, and saw where he abode; and they abode with him that day. It was about the tenth hour.
40 Andrew, the brother of Simon Peter, was one of the two who heard [this] from John and followed him.
41 He first finds his own brother Simon, and says to him, We have found the Messias (which being interpreted is Christ).
42 And he led him to Jesus. Jesus looking at him said, Thou art Simon, the son of Jonas; thou shalt be called Cephas (which interpreted is stone).


According to John 1:40-41, John the Dunker tells Andrew (and John the Apostle) that Yehoshua is the Messiah. Andrew (and John) then follow the Messiah. Andrew then quickly finds his brother, Simon, and tells him that Yehoshua is the Messiah. Does this not amount to the witness of "flesh and blood"?

How do these two (2) witnesses agree?