The base of the number system for the addition operation 25 + 15 = 43 to be true is
The base of the number system for the addition operation 25 + 15 = 43 to be true is
Right Answer is:
7
SOLUTION
Let’s assume the base of the number system is ‘x‘.
In base ‘x’, the numbers 25, 15, and 43 can be represented as:
- 25 in base x = 2x + 5
- 15 in base x = x + 5
- 43 in base x = 4x + 3
Now, we can set up the equation:
(2x + 5) + (x + 5) = 4x + 3
Solving this equation:
3x + 10 = 4x + 3
Subtracting 3x from both sides and subtracting 3 from both sides:
7 = x