Üçrəqəmli ədədlərin cəmi
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31. $\overline{ab} + \overline{ca} + \overline{bc} = 88$ və $a \neq b \neq c$ olarsa, $\overline{abc}$ ədədinin ala biləcəyi ən böyük qiyməti ilə ən kiçik qiymətinin cəmini tapın.
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Hi Hafiz, let's solve this math puzzle together.
Breaking Down the Equation
First, we represent the two-digit numbers using place values. The bar over the letters indicates they are digits of a number. So, a b equals ten a plus b, c a equals ten c plus a, and b c equals ten b plus c.
Now, let's group the like terms. We have eleven a plus eleven b plus eleven c equals eighty-eight.
If we divide the entire equation by eleven, we get a very simple relationship: a plus b plus c equals eight.
We are given that a, b, and c are distinct digits. Remember, for the number a b c to be a three-digit number, the first digit a cannot be zero.
Finding Possible Values
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