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avatar+141 

Find the number of ordered pairs $(a,b)$ of integers such that
\frac{a + 2}{a + 1} = \frac{b}{12}.

 
 Feb 4, 2025
 #1
avatar+130313 
+1

(a+ 2) / (a + 1)  =  b/12

 

Rearrange as

 

12 ( a + 2) / ( a + 1)  =  b

 

This will converge  to ≈  12  as a becomes more positive and  more negative

 

a         b

0       24

1       18

2       16

3       15

5       14

11     13

-2       0

-3       6

-4       8

-5       9

-7      10

-13    11

 

 

cool cool cool

 4 hours ago
edited by CPhill  4 hours ago

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