Can you solve this analogy
6:9 :: 64:?

Question

Can you solve this analogy 
6:9 :: 64:?

thesmartone · Answer

Is your question
6:9 :: 6:4 ?`

anonymous · Answer

No it's "64"

thesmartone · Answer

Oh I get it...

thesmartone · Answer

a:b is noting but a/b

anonymous · Answer

Its a "Complete the analogy" kind of a question! Ya... I also did that and got 96 . But the correct answer according to the book (without explanation, of course!) is 25.

thesmartone · Answer

So
$$\frac{ 6 }{ 9 }=\frac{ 64 }{ ? }$$

thesmartone · Answer

Well... This is the first time I hvae seen this question in math...

thesmartone · Answer

@mathslover @jhonyy9 @Loser66 @paki 
Do you get this question?

anonymous · Answer

Maybe I could repost it in a Logic subject section, if there is one on this website.

thesmartone · Answer

There is no logic website... You can keep it open in Math...

mathslover · Answer

Well, its a question of proportion.

mathslover · Answer

6:9 :: 64:?

$\cfrac{6}{9} = \cfrac{64}{?}$

$\cfrac{6}{9} \times 9 = \cfrac{64}{?} \times 9 \

\cfrac{6}{\cancel{9}} \times \cancel{9} = \cfrac{(64 \times 9 )}{?} $

So, $ 6 = \cfrac{(64 \times 9)}{?}$

mathslover · Answer

Further, multiply both sides by "?" 

$6 \times ? = 64 \times 9 $

Divide both sides by 6

$? = \cfrac{64 \times 9 }{ 6}$

jhonyy9 · Answer

why you dont simplifie 6/9 = 2/3  ???

mathslover · Answer

You can, but I preferred to go through the conventional method @jhonyy9 !

jhonyy9 · Answer

ok ! but i think the result will be the same

mathslover · Answer

Yep! Result will be same in both cases.

anonymous · Answer

Yup, I did the same. The answer , I think should be 96. Maybe the answer in the book is wrong. Thanks anyway! @mathslover @jhonyy9 @TheSmartOne

mathslover · Answer

You're welcome Mttal :)

thesmartone · Answer

No problem...