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#21 Digit gangs
Set by Katie Steckles
If we use the digits 0-9 in place of the letters A-J (in some order) in the numbers ABC, DE, FGH and IJ, we can create four numbers to use in calculations. For example, the numbers could be 134, 50, 289 and 67, or 013, 56, 289 and 74.
What is the largest total you can make for ABC + DE + FGH + IJ by assigning the digits?
Can you assign the digits to maximise the value of (ABC × DE) + (FGH × IJ)? What is the largest total you can get?
How can you assign the…
