This is hard!: Upper Primary Mathematics Competition Question

In spite of the name, this is not really very hard; but it does need a bit of logic to do it quickly!

In this puzzle, the aim is to replace each of the letters in the diagram on the right with a single-digit number in such a way that the sum is arithmetically correct.

Each letter stands for one number; the same letter means it must be replaced with the same number; different letters mean different numbers. There are only 7 different letters so not all the numbers from 0 to 9 need to be used.

How many solutions are there? And what are the correct sums?

In this particular case, there is no need to show a method. However, there is a fairly quick way of doing it rather than just plugging numbers in randomly.

Level: Upper Primary (Green)

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