#Dividing Problems (2 question)

204 messages · Page 1 of 1 (latest)

whole scaffold
#

Ok translation for both

10)
a and b are natural numbers
if so what is the remaining number from (a-b)/6

11)
a b and c are natural numbers
if so what is the lowest value for "a"?

quasi wedge
whole scaffold
quasi wedge
whole scaffold
#

I dare u

quasi wedge
ionic dawn
#

lowest value right

pale crane
#

maybe just plug and chug like darp said and then solve backwards to see how you can get the answer

ionic dawn
#

if a = 5b + 3, b = a-3 / 5 but one of the options - 3 is divisible by 3 execept A and D

#

@whole scaffold

#

and C = a-28 / 30

pale crane
#

i gtg i have to eat breakfast. its 3:00 pm

#

gl

ionic dawn
#

a = 5(6c+5)+3

#

solve for c

#

a = 30c + 25 + 3

#

c = (a-28)/30

#

its a-28

#

now from A and D we see that 158-28 is 130 which is NOT divisible by 30 but 208-28 is 180 which IS divisible by 30

golden lake
#

Plug and chug

ionic dawn
golden lake
#

Give me one good reason why not

ionic dawn
#

these are called diophantine equations @whole scaffold

#

there's more than 1 solution

#

so you can't plug and chug

#

there's a more elegant way as well

#

Called bezouts lemma

golden lake
#

He has 4 answers and one is correct

ionic dawn
#

but let's not go down that lane

ionic dawn
#

I use calculators for basic multiplication

#

generally if ax+by = c then gcd(a, b) should divide c

#

use this

golden lake
#

1=-1 great job

ionic dawn
#

new update

#

THIS IS FUCKING POST-GRAD?

golden lake
#

a=5b+3
b=6c+5

For a=158
(158-3)/5=b
155/5=b

ionic dawn
#

gilbert professional chugger

golden lake
#

,calc 155/5

#

Ok

ionic dawn
#

didn't know that

#

guys new physics theorem dropped

#

(by me)

violet blazeBOT
#

Result:

31
golden lake
#

Funny number in your country?

ionic dawn
#

what.

golden lake
#

What country is this

#

Weirdos

ionic dawn
#

Turkish people.

#

isn't turkey broadly Muslim?

golden lake
#

Find c

ionic dawn
#

and isn't that not allowed in Muslim?

golden lake
#

Focus coffey

#

Dont think of weenies

ionic dawn
#

👍

golden lake
#

It comes down to the value of c

#

You have 2 equations and 3 unknowns

#

Plug and chug

#

Enough time

ionic dawn
#

this requires 30s with bezouts lemma

#

i can speak Bengali

golden lake
#

Google plug and chug

#

,w plug and chug

violet blazeBOT
ionic dawn
#

wyafey

pale crane
#

u guys r still studying

ionic dawn
#

eren math version

pale crane
#

lol

ionic dawn
#

translate the question @whole scaffold

golden lake
#

He guessed

#

Cuz 6 and 12 are divisible by 2

#

He could have chosen 3 as well

#

Or 1

ionic dawn
#

how do i read division

#

i forgot

#

give me the equations

golden lake
#

My boy counting fingers to divide

ionic dawn
#

I'm getting dyslexic

#

just give me the equations I don't want to be dyslexic

#

yis

golden lake
#

Just dont divide 390 by 13 using fingers please

ionic dawn
#

you sure the eq right?

#

.

golden lake
#

When you did a-b

ionic dawn
#

i don't think the eq is right

#

parametric on n

#

its definitely more than 32

#

now

#

a-b/6 must be divisible by 6

#

sorry

#

sorry

#

ik

#

its of the form 32+60n

#

set n=0

#

yeah

#

then it's 1

#

then it's 92

#

92 mod6 = 2

#

so answer is 2

#

if n can't be 0

#

solve for a-b

#

plug n = 1

#

boom done

#

did they ask for least remainder?

#

okay

#

its just 32+60n mod6

#

whish is just 32mod6

#

or is it

#

yes it is

#

which is 2.

#

@whole scaffold they asked the minimum value of 32 + 60n mod6

#

basically for any n it 6 always divides 60n

#

right?

#

so we are left with 32

#

now what's the remainder of dividing 32 by 6?

#

that's your answer

#

then it's 2.

#

I'll re write it

golden lake
#

a-b=6b+2-12n
Divide by 6

#

You dont need to add and subtract 6n

#

I dont see why you would do that

ionic dawn
#

$a=6b+7$
$\
\$
$b=12n+5$ multiply both sides by 5
$\
\$
$\rightarrow 5b = 60n + 25$

violet blazeBOT
#

i own a thinking banana

ionic dawn
#

Do you follow?

#

$a-6b=7$

violet blazeBOT
#

i own a thinking banana

ionic dawn
#

$a-b - 5b=7$

violet blazeBOT
#

i own a thinking banana

ionic dawn
#

$a-b=7+5b$

violet blazeBOT
#

i own a thinking banana

ionic dawn
#

$a-b=7 + 60n+25$

violet blazeBOT
#

i own a thinking banana

ionic dawn
#

$a-b=32+60n$

violet blazeBOT
#

i own a thinking banana

ionic dawn
#

now for any $n$ 6 always divides $60n$

golden lake
#

Yeah this is better

violet blazeBOT
#

i own a thinking banana

ionic dawn
#

leaving only $32$ for us to divide

violet blazeBOT
#

i own a thinking banana

golden lake
#

So remainder for 32 by 6

ionic dawn
#

Now what remainder does $32$ produce being divided by $6$?

violet blazeBOT
#

i own a thinking banana

ionic dawn
#

,w 32mod6

violet blazeBOT
whole scaffold
#

,w 6457nıd7

ionic dawn
#

btw mod is basically like a belt

violet blazeBOT
whole scaffold
#

,w 6457mod7

golden lake
#

Nid

golden lake
#

Remainder yeah

#

Modulo

ionic dawn
#

that's remainder of 6457 dividing 7

#

now do the questions in #maths-riddles

#

they are good for practice

golden lake
#

We plug and chug

ionic dawn
#

eph the prime chugger

#

only prime finding algorithm known to man

golden lake
#

When you give me multiple choice yeah

pale crane
#

u guys r rlly dedicated

golden lake
#

Proven to be faster

#

This is why we dont get multiple choice in the balkans

ionic dawn
#

who tf

#

likes history

pale crane
#

fr

golden lake
#

Give problems

ionic dawn
#

giving

#

prove this

#

you are the problem @whole scaffold

pale crane
#

is that an m

golden lake
#

You posted it in the riddle channel asking others to solve it

ionic dawn
#

es

#

asking everyone

pale crane
#

i can help u with geoemtry

#

damn

#

what is the test for

#

@whole scaffold did i give u the right answer for q10?

#

oh

#

nice

ionic dawn
#

@whole scaffold subawu

#

Do you like miata

#

miata is best

#

miata is life

#

@whole scaffold it means putting different values and checking

#

yeah you will be "Goin for answers" on these too....

ionic dawn
#

who said b isn't even

#

that's ap

#

ap.

#

arithmetic progression

whole scaffold
#

oke anyway

#

thanks fo all

#

Ill close here

#

-close

#

+close?

#

+close