If a and b are positive integers such that 3 is a root of the equation ax?-12x+b=0, how many ordered pairs (a,b) exist?

Question

Sujal Rathore · Answer

sanchit we have to find positive integers and 0 is not a positive integer so there will be 11 cases only

Sanchit Ghai · Answer

3a + b = 36
a=0, b=36
a=1, b=33
.          .
.           .
a=12, b = 0

so total 13 cases :)

Sujal Rathore · Answer

(1,33),(2,30)................(11,3) =  11 ordered pairs

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