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Incomplete Fractions

Problem

In the equation,

 
2
*
  minus  
*
5
  =  
1
15

The * symbol stands for the same whole number value. Find its value.


Solution

By trial,

 
2
3
  minus  
3
5
  =  
10
15
  minus  
9
15
  =  
1
15

Is there a more efficient way to solve this problem?

What about  
*
9
  minus  
7
*
  =  
1
72
?
Problem ID: 26 (Dec 2000)     Difficulty: 1 Star

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