Question

Consider the equation (43)_x = (y3)₈ where x and y are unknown. The number of possible solution is ________

Answer 1

(43)_x = (y3)₈

∴ x > 4 and y < 8

4x + 3 = 8y + 3

4x – 8y = 0

∴ x = 2y and x > 4, y < 8

x (y > 4)	y (y < 8)	Condition
2	1	doesn’t satisfy
4	2	doesn’t satisfy
6	3	satisfy
8	4	satisfy
10	5	satisfy
12	6	satisfy
14	7	Satisfy

The number of possible solutions is 5.