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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 Simple solution | Comment 4 of 13 |

If their GCF is 89 they must have 89 as a factor.

Thus 89*a+89*b=89*12

a and b are relatively prime implies one = 5*89 and one = 7*89


  Posted by Gamer on 2006-03-14 18:45:16
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