Suppose that a and b are digits in base d > 6 such that . Find a_d - b_d in base d. thanks!

MIRB16
Apr 7, 2018

#1**0 **

63_7 + 66_7 = 162_7

6_7 - 3_7 = 3_7

Note: The first base I tried was base 7. I converted 162_7 to base 10 = 93. Then I tried 2 numbers that add up to 93. I tried 45 + 48 = 93. Then I converted 45 to base 7 =63. And similarly, converted 48 to base 7 = 66. Then added 63 + 66 (base 7) =162_7. That is how I arrived at the answer above.

Guest Apr 7, 2018

edited by
Guest
Apr 7, 2018