Cryptotastic #3

Algebra Level 4

A B C D + E F G H I \begin{array} { l l l } & A & B \\ & C & D \\ + & E & F \\ \hline G & H & I \\ \end{array}

In the above cryptogram all the letters represent distinct digits from 1 to 9.

If M M is the maximum possible value of G H I \overline{GHI} and N N is the minimum possible value of G H I \overline{GHI} , then find M N M - N .


If you're interested try Cryptotastic and Cryptotastic #2 .


The answer is 90.

This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try refreshing the page, (b) enabling javascript if it is disabled on your browser and, finally, (c) loading the non-javascript version of this page . We're sorry about the hassle.

1 solution

I find that M = 61 + 85 + 97 = 243 M = 61 + 85 + 97 = 243 and N = 26 + 48 + 79 = 153 N = 26 + 48 + 79 = 153 , making M N = 90 M - N = \boxed{90} .

I'm 99% certain this is the answer but if you find more extreme values for either of M , N M,N please let me know so that we can get the correct answer posted.

Yup, it's correct. Running a simple program confirms it.

Pi Han Goh - 4 years, 1 month ago

Log in to reply

Great! Thanks for the confirmation. :)

Brian Charlesworth - 4 years, 1 month ago

0 pending reports

×

Problem Loading...

Note Loading...

Set Loading...