smaster
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I think I got it. Werg22 pushing us toward the right clue with every post he makes. I think I got it before I start reading second page. Here it is.
Guest knew the house number, that means he could eliminate some possibilities. But he needed more info.
Why? Because he had more than one possibility the product of which numbers gave him still the same house number. The way he asked his last question means that he had some possibilities with family A having 1 kid and with family A having more than 1 kid the product of which numbers would be equal.
Now let's see the possibilities with family A having more than 1 kid. There only 6 possibilities I found:
2345, 2346, 2347,2348, 2356, 2357, 2456. The product of which gives us 120, 144, 168, 192, 180, 210, 240 accordingly. I found only 2 possibilities starting with 1 kid and product of which numbers is matching with the product of my other 6 possibilities. It's 1456 and 1358. The product of these numbers gives us 120. Since the guest didn't need any more clues after his last question, there were more than 1 kid in family A (family with the lowest number of kids). That gives us the only one sequence of numbers 2345. The host has 5 kids.
Guest knew the house number, that means he could eliminate some possibilities. But he needed more info.
Why? Because he had more than one possibility the product of which numbers gave him still the same house number. The way he asked his last question means that he had some possibilities with family A having 1 kid and with family A having more than 1 kid the product of which numbers would be equal.
Now let's see the possibilities with family A having more than 1 kid. There only 6 possibilities I found:
2345, 2346, 2347,2348, 2356, 2357, 2456. The product of which gives us 120, 144, 168, 192, 180, 210, 240 accordingly. I found only 2 possibilities starting with 1 kid and product of which numbers is matching with the product of my other 6 possibilities. It's 1456 and 1358. The product of these numbers gives us 120. Since the guest didn't need any more clues after his last question, there were more than 1 kid in family A (family with the lowest number of kids). That gives us the only one sequence of numbers 2345. The host has 5 kids.
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