Down and along

Can you work out the values of J, M and C in this sum?
Age
11 to 14
Challenge level
filled star empty star empty star
Exploring and noticing Working systematically Conjecturing and generalising Visualising and representing Reasoning, convincing and proving
Being curious Being resourceful Being resilient Being collaborative

Problem

 

The letters $J$, $M$ and $C$ represent three different non-zero digits.

                           
Down and Along


What are the values of $J$, $M$ and $C$?

                                       

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