Digit sum

Algebra Level 1

2 ( 6 + 4 ( 8 + 3 ( 1 + 5 ( 7 + 9 ) ) ) ) = ? 2(6+4(8+3(1+5(7+9))))=\ ?


The answer is 2020.

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1 solution

Chew-Seong Cheong
Feb 20, 2020

X = 2 ( 6 + 4 ( 8 + 3 ( 1 + 5 ( 7 + 9 ) ) ) ) = 2 ( 6 + 4 ( 8 + 3 ( 1 + 5 ( 16 ) ) ) ) = 2 ( 6 + 4 ( 8 + 3 ( 1 + 80 ) ) ) = 2 ( 6 + 4 ( 8 + 3 ( 81 ) ) ) = 2 ( 6 + 4 ( 8 + 243 ) ) = 2 ( 6 + 4 ( 251 ) ) = 2 ( 6 + 1004 ) = 2 ( 1010 ) = 2020 \begin{aligned} X & = 2(6+4(8+3(1+5(7+9)))) \\ & = 2(6+4(8+3(1+5(16)))) \\ & = 2(6+4(8+3(1+80))) \\ & = 2(6+4(8+3(81))) \\ & = 2(6+4(8+243)) \\ & = 2(6+4(251)) \\ & = 2(6+1004) \\ & = 2(1010) \\ & = \boxed{2020} \end{aligned}

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