Numbers too big to compute

The question

Today is Monday. A comet will be overhead in 135 days' time.

What day of the week will that be?

Only the leftover moves the day

from:Monday· days:135
MoTuWeThFrSaSu
19×7=133
135−133=2
Monday+2=Wednesday
  1. Today is Monday, and the wait is 135 days.
  2. Days of the week come back round every 7, so a whole number of weeks later is the same day.
  3. So take the whole weeks out. 19 weeks is 19 × 7 = 133 days, and 135 − 133 = 2 days are left over.
  4. Now count 2 on from Monday — tomorrow is the first. That lands on Wednesday.

How it works.

  1. 01

    Today is Monday, and the wait is 135 days.

  2. 02

    Days of the week come back round every 7, so a whole number of weeks later is the same day.

  3. 03

    So take the whole weeks out. 19 weeks is 19 × 7 = 133 days, and 135 − 133 = 2 days are left over.

  4. 04

    Now count 2 on from Monday — tomorrow is the first. That lands on Wednesday.