Take any pair of numbers, say 9 and 14.
Take the larger number, 14, and count up by that amount :
Then divide each of the values by 9, your chosen smaller number, and look at the remainders.
Notice there's a one.
Now do the same again but using different numbers, say 7 and 12.
Counting in twelves and dividing each result by 7 :
Again somewhere in those remainders is a one.
Pick the pairs how you like, somewhere there'll always be a one - won't there?
What actually happens?
Why?
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Hey there!
Seems like a silly question!!
Yes there will be one somewhere in the remainders. Not somewhere actually... it's just the chosen smaller number.
Say 3 and 5.
Counting up to the larger number = 1,2,3,4,5.
Dividing them with the smaller number = 1/3, 2/3, 3/3 =1, 4/3 and 5/3.
When counting up to the larger number we will definitely come across the smaller number. And dividing the same number give remainder one.
That's it. This is what actually happens!
Hope you got that. Any doubt.. ask me.
:)
Seems like a silly question!!
Yes there will be one somewhere in the remainders. Not somewhere actually... it's just the chosen smaller number.
Say 3 and 5.
Counting up to the larger number = 1,2,3,4,5.
Dividing them with the smaller number = 1/3, 2/3, 3/3 =1, 4/3 and 5/3.
When counting up to the larger number we will definitely come across the smaller number. And dividing the same number give remainder one.
That's it. This is what actually happens!
Hope you got that. Any doubt.. ask me.
:)
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