If each of the missing numbers in the blanks is a single-digit number, what is the sum of all the missing numbers?
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Consider statement 1 :
The digits used in the next sentence are all equal.
So we know that both the blanks must be filled with the same digit (digits from 1 to 9 inclusive).
Consider statement 2 :
The number of times the digit _____ is used in this sentence is _____ .
Now, whatever the digit we use to fill one of the blanks will be same digit that is to be filled in the other blank (condition from statement 1 ).
Also, the number of times we use the digit will be the equal to the number of blanks we put it in (condition from statement 2 ). Further we can deduce that the digit to be used is equal to the number of blanks it has to be filled in .
∴ The digit that satisfies the criteria is 2 .
And sum of the missing digits: 2 + 2 = 4 .