# Two-digit number

I am a two-digit number less than 20. When I divided by three, then you get the rest 1 and when you divide me by four you get also rest 1. What number am I?

Result

x =  13

#### Solution:

$a=(13-1)/3=4 \ \\ b=(13-1)/4=3 \ \\ x=3 \cdot \ 4+1=13$

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