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Mathematics 26 Online
OpenStudy (anonymous):

The median of a set of 7 consecutive integers is 27. What is the smallest of these integers?

OpenStudy (anonymous):

is the pattern, x , x+1, x+2, x+3, etc...

OpenStudy (anonymous):

since it's consecutive?

OpenStudy (anonymous):

Yes...

OpenStudy (anonymous):

okay

OpenStudy (anonymous):

The median is the number in the middle. With seven numbers, that means there are three above and three below. Since the numbers are consecutive, count backwards three from twenty-seven. I get twenty-four.

OpenStudy (anonymous):

really? hmm

OpenStudy (anonymous):

isn't the full equation 7x+21=27?

OpenStudy (anonymous):

x = 24 is the answer.. Sorry..

OpenStudy (anonymous):

if you follow the consecutive pattern

OpenStudy (anonymous):

oh okay

OpenStudy (anonymous):

No no need to write full equation..

OpenStudy (anonymous):

oh okays thank you so much!

OpenStudy (anonymous):

See, the seven consecutive numbers are: x, x+1, x+2, x+3, x+4, x+5, x+6 Here middle one is the median.. So, x + 3= 27 Subtract 3 both the sides, x = 24.. So this is the smallest integer.

OpenStudy (anonymous):

Oh okays thank you!! :)

OpenStudy (anonymous):

Welcome dear..

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