# An elementary Arithmetic puzzle with a trivial solution

Question asked by Ramani Aswath in #Brainy Puzzles on Mar 5, 2020

Ramani Aswath · Mar 5, 2020

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Ramani Aswath · Mar 7, 2020

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It is a straight forward addition.

The number system is other than decimal. Really trivial solution. As simple as 1+1=2

Ramani Aswath · Mar 9, 2020

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The most common number systems are: binary, decimal, octal, and hexadecimal. If a number system is based on base 3, it will go like this:

1, 2, 10, 11, 12, 20, 21, 22, 100

So, 1+1=2, 2+2=11

11+11=?

Venkat Sai Nakkina · Mar 9, 2020

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In the base 3 system the series will be

1,2,10,11,12,20,21,22,100,101,102,110,111,112,120,121.......

1+1=2

2+2=11

11+11=120

Finally answer is 120

Ramani Aswath · Mar 9, 2020

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11 in ternary is 3^1+1= 3+1=4 in decimal system

So 11+11 in ternary equals 4+4=8 in decimal system, which is 2*3^1+2=22 in ternary.

120 in ternary is 3^2+2*3^1+0=15 in the decimal system.