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How many members are in the group?

+1 vote

A theatre group has fewer than 100 members. They can stand in groups of seven with no one left over.
However, when they stand in groups of four, there are three people left over, as when they stand in groups of five.
How many members are in the group?

posted Jul 26, 2018 by Harshita Dhaliwal

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1 Answer

+1 vote


If N is the number we are looking for,
1) N=7x
2) N= 5y+3,
3) N=4z+3,
4) N<100
From 2) & 3) we get
5) N=20t+3
The only number satisfying 1) & 4) & 5) is 63

answer Jul 26, 2018 by Hanifa Mammadov

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