#anyone know how to work this out

85 messages · Page 1 of 1 (latest)

solemn helm
oak osprey
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you didnt even respond to my other message

mighty sinew
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lol

sleek egret
mighty sinew
solemn helm
oak osprey
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you could have asked

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so

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what is highest common factor

solemn helm
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the hcf of two or more numbers is the greatest factor that divides the numbers

oak osprey
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yep ok so

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in this case HCF of m and n is 7

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what does that tell you

solemn helm
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idk

oak osprey
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well using your definition

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it tells you that the biggest number that divides m and n

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is 7

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right?

solemn helm
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yh

oak osprey
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now im gonna actually split that

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because it really tells you two important things

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  1. 7 divides m and n
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so m and n are multiples of 7

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  1. nothing else is shared between m and n
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right?

solemn helm
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yes

oak osprey
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ok so

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we also know m is a multiple of 5

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so can you maybe

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think up a possible number that m could be so far

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using what we know

solemn helm
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70

oak osprey
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yep that would work

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ok and then we have

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n is an even number

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so can you think up something for n as well

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whats a nice small number thats

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both a multiple of 7 and even

solemn helm
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14

oak osprey
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awesome

solemn helm
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idk

oak osprey
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now we need to check

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so n is even check

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m is a multiple of 5 check

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but whats their HCF

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is 7 the only factor between them?

solemn helm
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hcf of 14 and 70 is 14

oak osprey
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thats true

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so we ened to fix this

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the real issue is that

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both are multiples of 7 but also multiples of 2

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right?

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we wanna make them not both multiples of 2

solemn helm
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yes

oak osprey
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so what do you think we should do

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how do we remove a factor of 2

solemn helm
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idk

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anything even has a factor of 2

oak osprey
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right so

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we wanna make one of them not even

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which one could we make not even

solemn helm
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m

oak osprey
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yep and

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how do we turn it not even

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how do we remove the multiple of 2

solemn helm
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idk

oak osprey
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well we could

solemn helm
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use a different number i guess

oak osprey
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yeah true

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i was thinking divide by that 2?

solemn helm
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divide 14 by 2

oak osprey
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thats n

solemn helm
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70 then

oak osprey
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so you get what

solemn helm
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35

oak osprey
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ok now

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recheck everything

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are all the boxes ticked

solemn helm
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hcf of 14 and 35 is 7

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and m is 35 so a multiple of 5

oak osprey
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yep

solemn helm
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so is there no right answer for this question it can be anything that works

oak osprey
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yep

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eg like

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105, 28 works too