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Fill in the blanks to complete the sequence:
……… + 13 * ……… / ……… + ……… + 12 *……… – ……… – 11 + ……… * ……… / ……… – 10 = 66

(Note: fill in the above blank with the digits 1 to 9, using each digit only once.)

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  • 1 Answer(s)

    If we put letters instead of the …..  that it will look like: A+13 * B/C + D +12 * E -F -11 + G*H/I – 10 =66
    So we can write it as 13*B/C + 12*E + G*H/I =66+10+11 + F – D – A = 87 +F -D -A. The highest possible number can be 87+9-1-3=93 and the lowest can be 87+1-9-8 =71
    The lowest result for G * H /I can be 2 (1*4/2)
    Also B/C must be an integer (and also G*H/I) and if we take all facts in concern we can see that 71 <= 13*X+12*Y+2  <=93 and so X (=b/c) <= 6 and Y <=5.
    That leaves us with 130 options….    Yeh really “Easy  Math puzzle”…

    So after a lot working the solution is: 9 +13 x 4 : 1 + 5 + 12 x 2 – 7 – 11 + 8 x 3 : 6 – 10 = 66

    Moshe Expert Answered on 13th February 2023.
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