Final answer:
To deduce the value of x in the expression 15×x, where x is an even number between 1 and 10, we look at the range provided and hints in the context. Given that x is an even number and the clues point towards a 'magic' number, the examples and references suggest that the number 6 may be of particular importance, making 2 and 4 as the plausible values of x with 6 as a potential indirect reference.
Step-by-step explanation:
Based on the hints provided, we need to determine the value of x in the expression 15×x, knowing that x is an even number between 1 and 10. The hints suggest that 1.5 ≤ x ≤ 4.5, so the only even numbers in this range are 2 and 4. Among the options given, 2 and 4 are the potential values of x. However, another hint about the magic number being 15×x suggests that the value of x might be related to some 'magic' or special property.
Keeping in mind these constraints and looking at the other provided information, we can try to identify which value of x could be deemed magical or peculiar. The hint numbered 27 mentions 'bis 12' which in some contexts can be interpreted as 'up to 12', meaning we should look for a value for x that, when multiplied by 15, gives a number at most 15×x ≤ 12. However, this is a contradictory hint as any even number times 15 will be greater than 12.
Considering another piece of information namely, 'Solution 8.12' and 'Example 4.10', which both contain a pattern related to the number 6, we may hypothesize that there is significance to the number 6, as it appears multiple times in the context of various examples. Thus, it seems reasonable to conclude that the magic number could be linked to the number 6 from these examples.