COolguy101 wrote:
If prompt changes from "sum of the numbers" to the sum of 'INTEGERS' then what would be the correct answer?
Changing the question to feature "the sum of INTEGERS," would make the question super tricky.
We can still use part of the logic I used in my solution (above) to conclude that
n must be greater than 40.
However, the answer will no longer be 41. Here's why:
We know that: (sum of n integers)/n = 1.2
This means we can write: sum of n integers = 1.2n
Since the sum of n INTEGERS must be an INTEGER, it must be the case that 1.2n = some INTEGER.
1.2(41) = 49.2 (NOT an integer), so, n can't equal 41
1.2(42) = 50.4 (NOT an integer), so, n can't equal 41
1.2(43) = 51.6 (NOT an integer), so, n can't equal 41
1.2(44) = 52.8 (NOT an integer), so, n can't equal 41
1.2(45) = 54 (integer!), so, n can equal 45
Answer: 45
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Brent Hanneson - founder of Greenlight Test Prep
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