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Stage: 3 Challenge Level: Challenge Level:2 Challenge Level:2

Joshua Bull , (Age 9, Brooklands Primary School, Suffolk) explains ...


"I did this problem by trial and error. I worked out that D + S = E so neither D or S could be 0.
I chose at random some numbers for E and A and worked out my hundreds column first.

I found these solutions":

0751
7913
+2846
+0246



3597
8159

Are there any more solutions?

Here are some more that have been sent in.....

Alana Asher (Eastbury Farm JMI & Nursery School, Middlesex) discovered the same one as Jason's second solution.

These two came for Alicia Persaud and Priya Gami (Eastbury Farm JMI & Nursery School, Middlesex).

8735
5831
+0612
+0497



9347
6328

Here's another one from Tan Ian Wern (Year 5, Tao Nan School, Singapore)

1576
+3209

4785

Zachary from Clearwater Bay School in Hong Kong has found another different solution:

2548
+ 0917
-----
3465

Pierre Thomson from Rifton, New York, wrote to tell us that he was working on this problem with his daughter. He managed to write a computer program to find all the solutions and discovered there are 140 altogether! However, some of hissolutions (like some of the above) included a zero in the thousands column - this is not how we usually write numbers so you may prefer to ignore these if you are working on this problem.


Published April 2000.