Jump to content
BrainDen.com - Brain Teasers
Sign in to follow this  
rookie1ja

No. 18

7 posts in this topic

No. 18 - Back to the Cryptograms and Algebra Puzzles

Replace the same characters by the same numerals so that the mathematical operations are correct.

AL = LEBKA

This old topic is locked since solution is already provided in the Spoiler below.

Pls visit New Puzzles section to see always fresh brain teasers.

No. 18 - solution

57 = 78125

Share this post


Link to post
Share on other sites
Guest

two possible answers here.

we realize that the number has to be at least 5 digits long, so we need to look for a power that has five digits...

3^9 = 19683,

which is too small.

the next one in the neighborhood is 4^8, which is also too small, and without even bothing to do the next multiplication, one can see that 4^9 would have too many digits.

that brings us to...

5^7 = 78125,

which is a correct answer. But is it the only one? 6^6 is slightly too small (and besides, one can make the reasonable assumption that different letters mean unique numbers). 7^5 is too small while 7^6 is too big. 8^5 is too small, and the next higher power will have too many digits. That brings us to the last possibility, which is 9^5 = 59049, which is a possibility, but only if you allow different letters to mean the same digit. I am assuming that such is not allowed, which would negate this option, so that means that 5^7 is the correct answer.

Share this post


Link to post
Share on other sites
Guest

.....

5^7 = 78125,

.....

I see no way to improve on your mathematic skills here, guderman. And I'm known to do such things sometimes

Very well done.

BoilingOil

Share this post


Link to post
Share on other sites
Guest

9 and 5 also work, if you allow multiple letters to represent the same digit [a reasonable assumption since a) the problem did not specify otherwise, and B) there are 26 letters and only 10 digits].

L = 5

E = 9

B = 4

K = 0

A = 9

Share this post


Link to post
Share on other sites
Guest
9 and 5 also work, if you allow multiple letters to represent the same digit [a reasonable assumption since a) the problem did not specify otherwise, and B) there are 26 letters and only 10 digits].

L = 5

E = 9

B = 4

K = 0

A = 9

Well, actually, several people try to pose this assumption because it wasn't explicitly excluded beforehand. Usually, this kind of problem would only be a real puzzle, if we assume that each DIFFERENT letter actually signifies a DIFFERENT digit. Otherwise, what would be the point?

And even if your assumption was allowable, your answer would still be wrong, because you switched the 0 and the 4

BoilingOil

Share this post


Link to post
Share on other sites
Guest

l2 is the equation 9 divided by 3.5678324 and then multiplied by 28. divid this by l and then plug in a as a variable. once you solve for a then just simplifly and divided your decimal or fraction by 9 again.

Share this post


Link to post
Share on other sites
Guest
And even if your assumption was allowable, your answer would still be wrong, because you switched the 0 and the 4

BoilingOil

oops

Share this post


Link to post
Share on other sites
Guest
This topic is now closed to further replies.
Sign in to follow this  

  • Recently Browsing   0 members

    No registered users viewing this page.

×