What do these hands mean?

According to the hand equations above, what is the value of the last sign?

Hint : Think of some number base other than 10.


The answer is 30.

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1 solution

This is the system of base-6 numbers: the right hand is the unit digit and the left hand is the unit of 6.

Therefore, from the first one (4 on the left and 1 on the right), ( 4 × 6 4\times 6 ) + ( 1 × 1 1\times 1 ) = 25.

Then, from the second one (2 on the left and 3 on the right), ( 2 × 6 2\times 6 ) + ( 3 × 1 3\times 1 ) = 15.

Hence, for the last one (5 on the left and 0 on the right), ( 5 × 6 5\times 6 ) + ( 0 × 1 0\times 1 ) = 30 \boxed{30} .

In other words, ( 41 ) 6 (41)_{6} = 25 ; ( 23 ) 6 (23)_{6} = 15 ; ( 50 ) 6 (50)_{6} = 30.

I used simultaneous equations Let the left hand represent number of x's and right hand represent number of y's Then 4x+y=25 And 3x+2y=15 Giving x=6,y=1 For the last equation 5x=5(6)=30 \blacksquare

Timothy Wan - 5 years, 4 months ago

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