An Indian board commuinty questioned their students. No body answered but one of them.
The Question is simple: _+_+_=30
Numbers to be used:" 1, 3, 5, 7, 9, 11, 13, 15 " only (Odd numbers upto 15)
You can use same number twice & can't put '0' anywhere in blanks.
Anyone out there to help?
If you add 3 odd numbers the answer cannot be even. Therefore they cannot add up to 30
Q: The Question is simple: _ + _ + _ = 30
Nice try Badinage, but the question specifies odd numbers and 115 and 135 are even numbers!
The comment "(Odd numbers upto 15)" looks like the poster's interpretation designed to mislead, rather than part of the problem specification. That's what I'm claiming!!
But the number 15 is specified and there is no 155.
I like your lateral thinking though! Try it with numbers to the base 7 (make sure the they are all odd).
There is significant ambiguity here (admittedly, that's what often makes math puzzles interesting!).
"Numbers to be used: ..." could be interpreted as ALL of these (sequences of digits) must be used at least once,
but then adding
"only" carries an implication that the solution is exclusive to those within that given sequence, and not that they all necessarily be utilised.
Also, it is not clear if the solution can include functions such as logn or power^(1/n)
So, possibly there is a whole raft of solutions, limited only by ones imagination.
Hi Alan and Badinage
So Badinage, if there is a 'whole raft of solutions' are you going to give us one of them that Alan won't poke holes in ? LOL
It would be interesting to know exactly what the examiners had in mind. A lot hinges on what is meant by "using the numbers".
if we can use mod, here is one of infinite possibilities:
Thanks Badinage :))
BUT only odd numbers up to 15 were supposed to be used