How would I go about solving TEHE + AHAHA = TEHAW?

How would I go about solving this? each letter represents a digit, and E, A and W are in the ones place.

I can tell 1+A= T, which means Tand H add together to make 10+E, but it could also be 1+T+H from carry over from the 100s place, and from there it just gets more complicated from how I'm looking at this. ​

3 Answers

  • 12 months ago


    E + A = W

  • 12 months ago





  • 12 months ago

    Since in the ones column, E+A = W but in hundreds, E+A = H, you know the hundreds column had a carry but the ones column didn't. So, H + H has to be at least 10 making H ≥ 5. And H would have to be 1 more than W since that column had a carried 1.

    So just plug in 5 for H and 4 for W and see if there is a contradiction (there is).

    So try 6 for H and 5 for W (again contradiction)

    and then 7 for H and 6 for W ...

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