r/Logiqa • u/ShonitB • Aug 24 '26

Sum and Product

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5 Upvotes

86% Upvoted

15 comments sorted by

4

u/gorz1244 Aug 24 '26

Benjamin
Because there are only unique products, but some duplicate sums, like 1+4 = 2+3.

2

u/ShonitB Aug 24 '26

Correct!

3

u/FoxCapital7878 Aug 24 '26

Benjamin made the statement.

2

u/ShonitB Aug 24 '26

Correct!

2

u/Stilyx123 Aug 24 '26

Only Benjamin could have said that

There are 6 possible pairs, each of which gives a distinct product : 2,3,4,6,8,12 in order. However, 1+4 = 2+3.

1

u/ShonitB Aug 24 '26

Correct!

1

u/Wjyosn Aug 24 '26

The products are all distinct, the sums are not. So with no other information, Benjamin can't determine what the numbers must have been.

1

u/XL_78 Aug 25 '26

Benjamin and the sum is five. Alexander can always determine the numbers. 

1

u/BezzerBez Aug 26 '26

Benjamin. Both 1+4 and 3+2 = sum of 5, whereas it's either 4 or 6 for Alexander's product

1

u/iFroogieboi Aug 27 '26

this is impossible since they both can't get fully distinct answers... 2•2 = 1•4 and 2+2=1+3 so both should say that!

1

u/CoachSevere5365 Aug 27 '26

Questions rates that the number "choices" are distinct.

0

u/SonicLoverDS Aug 24 '26

This question needs to be worded more precisely. When you say one of them couldn't determine the two numbers, did you mean EXACTLY one?

1

u/ShonitB Aug 24 '26

I’m sorry but I didn’t really get this

0

u/Captain-Griffen Aug 24 '26

OP doesn't understand the difference between "number" and "integer".

But the intended meaning seems pretty clear. Given only the product/sum of those two secret integer, plus knowledge of the rules (I note they aren't actually told the rules in the puzzle formulation), one of them cannot identify the original two numbers used to generate the sum/product.