All about flooble | fun stuff | Get a free chatterbox | Free JavaScript | Avatars    
perplexus dot info

Home > Logic
A tinted train (Posted on 2021-01-19) Difficulty: 3 of 5
a. Each ot the 10 digits ( 0,1,2, ... 9) is matched by a certain letter
of English alphabet.
b. The alphametic equation bhelow i.e.
GREEN-GRAY=AZURE ,
using this matching code, has an unique solution.

Once you get it you will know, what is the value of the product T*R*A*I*N.

Well, what is it ?

Please provide both the answer and your reasoning.

See The Solution Submitted by Ady TZIDON    
Rating: 4.0000 (1 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
Solution Explanation to Puzzle Answer Comment 3 of 3 |
(In reply to Puzzle Answer by K Sengupta)

The alphametic equation:

GTEEN-GRAY=AZURE
solves as:
E    Y    N    R     Z     U    A     G
1    2    3     4     5     6     7     8
so that: 84113 - 8472 = 75641

Accordingly,  there are two unused digits 0 and 9 to be assigned to the letters T and I corresponding to the expression T*R*A*I*N
Therefore, (T, I) = (0,9) or, (9,0) 
This gives: T*I =0
Hence, T*R*A*I*N
= T*I*R*A*N
= (T*I)*(R*A*N) 
= 0*(R*A*N)
=0

  Posted by K Sengupta on 2022-06-14 22:53:11
Please log in:
Login:
Password:
Remember me:
Sign up! | Forgot password


Search:
Search body:
Forums (1)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (6)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:
Copyright © 2002 - 2024 by Animus Pactum Consulting. All rights reserved. Privacy Information