The numbered wooden blocks of childhood.

Number Theory Level 2

□ 0 □ 1 □ 2 ‾ ⋅ □ 3 □ 4 ‾ = x = □ 5 □ 6 ‾ ⋅ □ 7 □ 8 □ 9 ‾ \large \overline{\square_0 \square_1 \square_2} \cdot \overline{\square_3 \square_4} = x = \overline{\square_5 \square_6} \cdot \overline{\square_7 \square_8 \square_9}

Each digit from 0 to 9 is used once into the equations above such that the equations are correct and x x reaches the greatest possible value ( □ 0 \square_0 does not necessarily equal 0 and so on).

What is the value of 2 x − ( □ 0 □ 1 □ 2 ‾ + □ 3 □ 4 ‾ + □ 5 □ 6 ‾ + □ 7 □ 8 □ 9 ‾ ) 2x - (\overline{\square_0 \square_1 \square_2} + \overline{\square_3 \square_4} + \overline{\square_5 \square_6} + \overline{\square_7 \square_8 \square_9}) ?


The answer is 115329.

Thành Đạt Lê by Thành Đạt Lê , 17, Singapore

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