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(312/20)r = (13.1)r . Find the radix ‘r’.

Question

(312/20)r = (13.1)r . Find the radix ‘r’.

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Solution

Sure, let's solve this step by step:

  1. First, simplify the left side of the equation: 312/20 = 15.6. So, the equation becomes 15.6r = 13.1r.

  2. Subtract 13.1r from both sides to isolate the variable on one side: 15.6r - 13.1r = 13.1r - 13.1r. This simplifies to 2.5r = 0.

  3. Divide both sides by 2.5 to solve for r: 2.5r / 2.5 = 0 / 2.5. This simplifies to r = 0.

So, the radix 'r' is 0.

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