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A particular fortune cookie lists four two-digit positive integers as your lucky numbers. The first three are 57, 13, and 72, but you got sauce on the last one and can't read it. If the sum of the digits of all four numbers equals  of the sum of all four numbers, what is the smallest possibility for the fourth lucky number?

 Jul 11, 2020
 #1
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There is something missing in the question.

 

"equals () of sum of four numbers"

 

There must be something replacing the brackets

 Jul 11, 2020
 #2
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A particular fortune cookie lists four two-digit positive integers as your lucky numbers. The first three are 57, 13, and 72, but you got sauce on the last one and can't read it. If the sum of the digits of all four numbers equals 1/5 of the sum of all four numbers, what is the smallest possibility for the fourth lucky number?

 Jul 11, 2020
 #3
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The smallest fourth lucky number = 38.

Check: [5+7+1+3+7+2+3+8] = 1/5*[57+13+72+38] = 36 = 36

 Jul 11, 2020

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