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Problem
Replace the letters with numbers to make the addition work out correctly.
| R | E | A | D | |
| + | T | H | I | S |
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| P | A | G | E | |
Student Solutions
Joshua Bull (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 | |
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| 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 | |
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| 9347 | 6328 |
Here's another one from Tan Ian Wern (Tao Nan School, Singapore)
1576
+3209
--------
4785
Zachary from Clearwater Bay School in Hong Kong has found another different solution:
2548
+0917
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3465
Laura, Sophia and Sophie from St Michael's Collegiate School in Hobart, Tasmania, found another different solution:
4589
+3216
--------
7805
Jayden from Elm Park School in Auckland has found another new solution:
1359
+7204
---------
8563
Well done!
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 his solutions (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.