Spell by numbers
Problem
Can you substitute numbers for the letters in these sums?
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Did you know? Mathematical problems in which you replace digits with letters that make words or even phrases are called CRYPTARITHMS.
Getting Started
Here are some clues to help if you are stuck...
- $A, E, H$ and $T$ are evenly divisible by $2$
- $G, I, P$ and $U$ are not evenly divisible by $2$
- $T$ and $U$ are square numbers
- $T$ has twice the value $A$ but only half the value of $H$
- $P$ is only half of $E$ but three times $S$
- $G$ is greater than $I$
Student Solutions
This was quite tricky but some of you made good solutions and told us how you worked them out.
Sarah from Tattingstone School said she started off with O because she could see that it left things unchanged. Here is her solution:
Can you follow her description of what she did?
Here is another one from her friend Marion. She started with a different idea but still gets the solution. Is one way quicker than the other?
