Fun with number

Logic Level 2

a b c d e 6 × 4 6 a b c d e \large{\begin{array}{ccccccc} &&a & b & c& d & e&6\\ \times&& & & & & &4\\ \hline & & 6& a & b& c & d& e\\ \hline \end{array}}

The above shows a cryptogram. Each of the letters represents a single digit, with a ≠ 0 a\ne 0 . Complete this cryptogram and submit your answer as the 6-digit integer, a b c d e 6 ‾ \overline{abcde6} .


The answer is 153846.

View wiki
Shithil Islam by shithil Islam , 18, Bangladesh

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

Geoff Pilling
Dec 9, 2016

Let x = a b c d e ‾ x= \overline{abcde}

The above equation is translated to:

  • ( 10 x + 6 ) 4 = 600000 + x (10x+6)4 = 600000+x
  • 40 x + 24 = 600000 + x 40x+24=600000+x
  • 39 x = 599976 39x=599976
  • x = 15384 = a b c d e ‾ x = 15384= \overline{abcde}

So, a b c d e 6 ‾ = 153846 \overline{abcde6} = \boxed{153846}

6 Helpful 1 Interesting 1 Brilliant 3 Confused

0 pending reports

×

Problem Loading...

Note Loading...

Set Loading...