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x, y, and z are consecutive integers, and x < y < z.

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Source: — Data Sufficiency |
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by swerve » Tue Jun 25, 2019 11:15 am

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Your Answer

A

B

C

D

E

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1. Clearly sufficient.

2. Take 3 numbers

\(a-d\, a\, a+d\)

avg \(=\frac{ a-d + a + a+d}{3} = \frac{3a}{3} = a\)

Hence we need to know \(a\) only... \(d\) is 1

now \(\frac{y+z}{2} = \frac{25}{2}\)

\(a+a+d = 25\)
\(2a+1 = 25\)
\(a =\frac{24}{2} \Rightarrow 12 \)

Hence sufficient.

So the answer is __D__
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