Tricky addition

Number Theory Level 4

When doing addition, most people use the same base for each column.
For instance, in base 3, 121 + 102 = 1000 121 + 102 = 1000 .

However, there is a tribe of humans known as the B'SWAMI that use different bases in each column .

Here are two B'SWAMI additions. I will separate the columns to make things clearer. 1 ∣ 2 ∣ 6 + 2 ∣ 0 ∣ 7 = 4 ∣ 0 ∣ 1 2 ∣ 1 ∣ 8 + 2 ∣ 2 ∣ 3 = 5 ∣ 0 ∣ 11 \begin{aligned} 1 \ | \ 2 \ | \ 6 + 2 \ | \ 0 \ | \ 7 & = 4 \ | \ 0 \ | \ 1 \\\\ 2 \ | \ 1 \ | \ 8 + 2 \ | \ 2 \ | \ 3 & = 5 \ | \ 0 \ | \ 11 \end{aligned} In B'SWAMI, what is 1 ∣ 1 ∣ 10 + 2 ∣ 0 ∣ 6 1 \ | \ 1 \ | \ 10 + 2 \ | \ 0 \ | \ 6 ?

3 I 2 I 2 4 I 0 I 2 3 I 2 I 6 3 I 2 I 4 3 I 3 I 0 3 I 1 I 4 4 I 1 I 4 3 I 1 I 8

Denton Young by Denton Young , 47, USA

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1 solution

Denton Young
Mar 23, 2017

1 yard 1 foot 10 inches + 2 yards 0 feet 6 inches = 3 yards 2 feet 4 inches

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