Logic
# Arithmetic Puzzles

\[\square6 + \square7 = 1\square3\] All three boxes contain the same digit. What digit belongs in the boxes to make this equation true?

This is an arithmetic puzzle, where \( 1 \square \) would represent the 2-digit number 19 if \( \square = 9 \). It does not represent the algebraic expression \( 1 \times \square \).

I am thinking of a three digit number. The product of the digits in my number is 14, and the last digit is twice as big as the first digit.

What number am I thinking of?

A certain five-digit number has the property that if the digit 1 is placed (concatenated) at the end of the number, the result is three times larger than the value that results if the digit 1 is placed at the beginning of the number.

What number is it?

What operation goes into the red square?

In the above image, each letter represents a unique digit.

What digit does the letter F represent?

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