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Named Products

Age 11 to 14 Short Challenge Level:


In this equation, each letter stands for a different digit:$$\frac{E\times I\times G\times H\times T } {F\times O\times U\times R }= T\times W\times O$$ 

What is the value of the product $T\times H\times R\times E\times E$ ?





 

This problem is taken from the UKMT Mathematical Challenges.
You can find more short problems, arranged by curriculum topic, in our short problems collection.