Decimal Addition 3

Directions: Use the digits 1 to 9, at most one time each, to make a sum with the greatest possible value.

Hint

How do you place digits so the sum is less than ten?

Answer

The least possible value is 1.2 and you can get it using many combinations of digits including:
5.2 + 4.6 = 9.8
3.1 + 6.7 = 9.8
2.5 + 7.3 = 9.8

Source: Owen Kaplinsky and Robert Kaplinsky

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13 comments

  1. The ‘least possible value is 1.2’ and you can get it using many combinations of digits including:
    5.2 + 4.6 = 9.8
    3.1 + 6.7 = 9.8
    2.5 + 7.3 = 9.8

    I think this should read:
    The greatest possible value is 9.8 and you can get it using many combinations of digits including:
    5.2 + 4.6 = 9.8
    3.1 + 6.7 = 9.8
    2.5 + 7.3 = 9.8

  2. Other solutions:

    5.6 + 4.2 = 9.8
    6.1 + 3.7 = 9.8
    4.7 + 5.1 = 9.8
    5.7 + 4.1 = 9.8
    2.3 + 7.5 = 9.8

  3. I thought you were suppose to add 1.9 +1.9 and i got 3.8.

    This is so hard!!!!!

  4. ig ot 6.7 + 3.1

  5. The least possible value is 1.2 and you can get it using many combinations of digits including:
    5.2 + 4.6 = 9.8
    3.1 + 6.7 = 9.8
    2.5 + 7.3 = 9.8

  6. 6.8+2.8=9.6
    7.8+1.8=9.8

  7. 5.2+4.6=9.8

  8. Rudolf Österreicher

    400 solutions to the equation, 8 of which have the greatest possible sum, 9.8:
    2.3 + 7.5 = 9.8
    2.5 + 7.3 = 9.8
    3.1 + 6.7 = 9.8
    3.7 + 6.1 = 9.8
    4.1 + 5.7 = 9.8
    4.2 + 5.6 = 9.8
    4.6 + 5.2 = 9.8
    4.7 + 5.1 = 9.8

    The lowest possible sum is 3.9, as the result of the two equations:
    2.4 + 1.5 = 3.9
    2.5 + 1.4 = 3.9

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