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How Many Pairs (Posted on 2006-03-14) Difficulty: 2 of 5
The sum of two positive numbers is 1068 and their Highest Common Factor is 89. How many pairs of such numbers are there?

No Solution Yet Submitted by Ravi Raja    
Rating: 2.5000 (6 votes)

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Solution solution Comment 13 of 13 |
there are 4 pairs. Because 89 goes into 1068 11 times, there are 11 sets of numbers that will go into 1068, while both numbers have 89 as a common factor. However, only 4 pairs (8 if order counts) will have 89 as a GCF.
  Posted by val on 2006-05-10 13:25:02
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