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This question can be rephrased as, "If (v+w+x+y+z)/5=20, then for what value of z does (v+w+x+y)/4=15?". Thus, z is "the missing number." Let's solve for v+w+x+y in both equations. In the first equation, v+w+x+y=(20)(5)-z=100-z. In the second equation, v+w+x+y=(15)(4)=60. So 100-z=60. z=40. That's it! The missing number is 40!

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