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27 August, 05:34

There is a two-digit number whose units digit is six less than the tens digit. Four times the tens digit plus five times the units digit equal 51. Find the digits.

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  1. 27 August, 08:30
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    T = U + 6

    4T + 5U = 51 substitute for T

    4 (U + 6) + 5U = 51

    4U + 24 + 5U = 51

    9U + 24 = 51

    9U = 27

    U = 3

    t = U + 6

    t = 3 + 6

    t = 9

    Check

    4*t + 5*u = ? 51

    4*9 + 5*3 = ? 51

    36 + 15 = ? 51

    51 = 51 It checks.
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