how is this sum worked out
fourteen plus six times three minus two=4642

14 + 6 * 3 - 2

If you assume the standard order of operations

1.  Parentheses
2.  Exponents
3.  Multiplication
4.  Division
5.  Addition
6.  Subtract

Then the answer is (14 + (6 * 3)) - 2

Are you sure this was typed exactly?

This seems like a riddle to me, but I have not got 4642 with any techniques

14+6*3-2 = 30
(14+6)*3-2 = 58
(14+6)*(3-2) = 20

Results from trying to solve it as a riddle:

fourteen plus six times three minus two
with each character converted to ascii (including the spaces) and then summed
= 3840
Even with throwing in the =4642 as ascii, it still only sums to 
= 4109

I have also tried converting these numbers to base 8 (oct) and base 16
(hex), I also thought about base 7, but did not want to do the math...

I also tried concatenating the 14 and 6
146 * 3 - 2, etc. with no success


Could you elaborate on the question:
Is it a riddle?

no it is not a riddle but a tv quiz show question. I would just like
to know how they got the ans.

Well if their answer was 4642 then they had no idea what they were talking about

The correct answer is 30, as already stated:
6*3 = 18
+ 14= 32
-2 = 30

This is the "correct answer" according to standard rules.
And if it is not a riddle, then those rules apply.

In fact you can even put this in google to get the correct answer:
://www.google.com/search?q=fourteen+plus+six+times+three+minus+two