One Short

A whole number less than 100 gives remainders of 2, 3 and 4 when divided by 3, 4 and 5. What is the remainder when it is divided by 7?
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Problem



A positive whole number less than $100$ has remainder $2$ when it is divided by $3$, remainder $3$ when it is divided by $4$ and remainder $4$ when it is divided by $5$. What is its remainder when it is divided by $7$?

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