Multiple choice

If 73x (in base-x number system) is equal to 54y (in base-y number system), the possible values of x and y are

  1. 8, 16

  2. 10, 12

  3. 9, 13

  4. 8, 11

Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Convert both to base 10: 7x + 3 = 5y + 4. This simplifies to 7x - 5y = 1. Testing the options: for x=8, 56+3=59; 5y+4=59 implies 5y=55, so y=11.