Pattern #2

Logic Level 2

All numbers on the left are related to the right by the equation y=mx+b (where m and b stay constant for all 3 instances).

18:9
24:11
9:?


The answer is 6.

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1 solution

Noel Lo
Jun 8, 2018

9 = 18 m + b 9=18m+b and 11 = 24 m + b 11=24m+b . Subtracting the first equation from the second gives 6 m = 2 6m=2 or m = 1 3 m=\frac{1}{3} . Then b = 3 b=3 which means y = x 3 + 3 y=\frac{x}{3}+3 . So when x = 9 x=9 , y = 9 3 + 3 = 3 + 3 = 6 y=\frac{9}{3}+3=3+3=\boxed{6} .

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