Fly away

Can you work out the values of the digits in this addition sum?
Exploring and noticing Working systematically Conjecturing and generalising Visualising and representing Reasoning, convincing and proving
Being curious Being resourceful Being resilient Being collaborative

Problem



In this addition, each letter represents a different non-zero digit.

             
Image
Fly Away
  

Find the values of A, F, L, W and Y.

 

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