Coin Collection

When coins are put into piles of six 3 remain and in piles of eight 7 remain. How many remain when they are put into piles of 24?
Exploring and noticing Working systematically Conjecturing and generalising Visualising and representing Reasoning, convincing and proving
Being curious Being resourceful Being resilient Being collaborative

Problem



Tom has a collection of more than $24$ coins. When he puts the coins in piles of $6$, there are $3$ coins remaining. When he puts the coins in piles of $8$, there are $7$ coins remaining. How many coins remain when he puts the coins in piles of $24$?

 

If you liked this problem, here is an NRICH task which challenges you to use similar mathematical ideas.