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I have this problem:
I live on a street where the houses are numbered from 1 up consecutively. The sum of all the house numbers less than mine is the same as the sum of all the house numbers greater than mine. My house # is in the 30's. What is the house # and how many houses are on the street?
I can get the answers of 35 and 49 thru doing the sums of all the possiblilies of the house # being 30 to 39. But is there a formula? We aren't allowed to use guess and check.
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