# Children

Less than 20 children is played various games on the yard. They can create a pairs, triso and quartets. How many children were in the yard when Annie came to them?

Result

n =  13

#### Solution:

$n-1 < 20 \ \\ n< 21 \ \\ n-1 = 3\cdot 4\cdot k; k\in N \ \\ \ \\ n = 12+1 = 13$

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