Explain why 1st of april is always on the same day of the week as 1st of july

Laboromniavincit

17

Reply 1

Laboromniavincit

OP

17

Explain why 1st of april is always on the same day of the week as 1st of july
This is a maths problem solving question , please could you give your reasoning?

Reply 2

-Mathematician-

11

Because there’s always 93 days between them... 93 days is exactly 13 weeks, so will always be on the same day.

Reply 3

DrawTheLine

22

Well what's your answer? I'm assuming this is a question for homework, in which case you need to have attempted it first and then ask for help.

Reply 4

math42

20

It's modular arithmetic bro.

[video="youtube;-dh7COSiB7g"]https://www.youtube.com/watch?v=-dh7COSiB7g[/video]

Reply 5

uponthyhorse

15

Original post by math42

It's modular arithmetic bro.

[video="youtube;-dh7COSiB7g"]https://www.youtube.com/watch?v=-dh7COSiB7g[/video]

This is beautiful, I never expected University Challenge memes to be a thing

Reply 6

tiny hobbit

15

Original post by -Mathematician-

Because there’s always 93 days between them... 93 days is exactly 13 weeks, so will always be on the same day.

???!!!

Reply 7

math42

20

Original post by tiny hobbit

???!!!

I believe they mean 91.

Reply 8

DFranklin

18

Original post by math42

I believe they mean 91.

No, they just live in a country that has adopted the once a quarter leap week which has an added weekend...

Reply 9

Rover5

13

modular arithmetic - genius post math42

Reply 10

hungrylearner

1

April and July always begin in the same day of the week. This is true in both the Julian and Gregorian calendars. April is 30 days, May is 31 days, June is 30 days, so 1st July is 91 days after 1st April. This is exactly 13 weeks, so they always start on the same day

Reply 11

hungrylearner

1

Original post by Laboromniavincit

Explain why 1st of april is always on the same day of the week as 1st of july

April and July always begin in the same day of the week. This is true in both the Julian and Gregorian calendars. April is 30 days, May is 31 days, June is 30 days, so 1st July is 91 days after 1st April. This is exactly 13 weeks, so they always start on the same day