Final answer:
In this problem, we are given a set of odd house numbers on a street and asked to determine Hana's house number based on the given conditions.
Step-by-step explanation:
In this problem, we are given that there are less than 10 houses on one side of a street that are numbered in odd numbers like 5, 7, 9, and so on. Let's assume that Hana's house number is x. Now, the sum of the house numbers below Hana's house would be the sum of all the odd numbers from 5 to x-2, which is (x-2+5)(n/2) = (x+3)(n/2). Similarly, the sum of the house numbers above Hana's house would be the sum of all the odd numbers from x+2 to 2n, which is (2n+x+2)(n/2).
According to the problem, the sum of the house numbers below Hana's house is equal to the sum of the house numbers above her house. So, we can set up the following equation: (x+3)(n/2) = (2n+x+2)(n/2).
Now, solving this equation will give us the value of x, which is Hana's house number.