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A set consists of 5 distinct positive integers a, b, c, d, e

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A set consists of 5 distinct positive integers a, b, c, d, e

by BTGmoderatorDC » Sat Jun 22, 2019 7:13 pm

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A set consists of 5 distinct positive integers a, b, c, d, e, where b is the least number and d is the highest number. If the sum of a, c and e is 24, and the mean of all 5 numbers is 8.8, then what is the maximum value of (d - b)?

A. 16
B. 17
C. 18
D. 19
E. 20

OA E

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by swerve » Sun Jun 23, 2019 9:01 am
Given

\(b\) is least integer and \(d\) is the highest number and the sum of \(a+c+e= 24\)
mean of \(b+24+\frac{d}{5} = 8.8\)
\(b+d=20\)
since \(d\) is the highest number it can be \(19\) and \(b\) is least can be \(1\)
so \(19-1= 18\)

Therefore, __C__
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