On the trip

On the trip were more than 55 children, but less than 65 children. Groups of 7 could be formed, but groups of 8 no. How many children were on a trip?

Correct result:

n =  63


n1=7 8=56 n2=7 9=63 55<n1<65 55<n2<65  o1=n1/8=56/8=7 o2=n2/8=63/8=638=7.875  n=n2=63n_{1}=7 \cdot \ 8=56 \ \\ n_{2}=7 \cdot \ 9=63 \ \\ 55 < n_{1} < 65 \ \\ 55 < n_{2} < 65 \ \\ \ \\ o_{1}=n_{1}/8=56/8=7 \ \\ o_{2}=n_{2}/8=63/8=\dfrac{ 63 }{ 8 }=7.875 \ \\ \ \\ n=n_{2}=63

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