All the 7's plays a role

Logic Level 1

The above is a long division with some digits hidden. What is the sum of all the missing digits?


The answer is 35.

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Pi Han Goh by Pi Han Goh , 30, Malaysia

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2 solutions

Tom Miller
Jul 25, 2017

79=9*8+7=72+7 => 9+8+7+9+2=35

1 Helpful 0 Interesting 0 Brilliant 0 Confused
Ethan Song
Jul 6, 2017

8*9=72, so it is 79/8, or 79/9, so sum is 9+8+7+9+2=35

0 Helpful 0 Interesting 0 Brilliant 0 Confused

Trial and error may work here but in longer long division problems with digits missing like Pi's other problems, this is hardly the most efficient approach. How can you logically find these missing digits, and how can you verify that they are a unique solution to the problem?

Zach Abueg - 3 years, 11 months ago

If quotient is not an integer, how can the sum be an integer?

Tony Carlson - 3 years, 10 months ago

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why do you say that the quotient is not an integer?

Pi Han Goh - 3 years, 10 months ago

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