Question 697862
The product of 3 consecutive positive integers, when divided by their sum, results in a quotient of 33. What is the largest of the three integers?
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Integers are n-1, n & n+1
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{{{n(n-1)*(n+1)/(3n) = 33}}}
{{{(n^3 - n)/3n = 33}}}
{{{(n^2 - 1)/3 = 33}}}
{{{n^2 = 100}}}
n = 10
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9, 10, 11