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Call the specified numbers a, b, c, d, e, f, and g and the unknown number x. From the problem statement, (a + b + c + d + e + f + g)/7 = 9 [from the definition of "mean" of a set of numbers]. Also (a + b + c + d + e + f + g + x)/(7 + 1) = 9 - 3 = 6, or x/8 = 6 - [(a + b + c + d + e + f + g)/8], or x = 48 - (a + b + c + d + e + f + g).

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Q: What is the equation for this A set of 7 numbers has a mean of 9 What additional number must be included in this set to create a new set with a mean that is 3 less than the mean of the original set?
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