perplexus.info :: Numbers : What number is ALUMINE?

What number is ALUMINE? (Posted on 2023-09-30)

The letters denote a different base ten digit from 0 to 9. No number can contain any leading zero.

It is known that both the relationships are simultaneously satisfied:
1) (AAAU)²= ALUMINE
2) (A+A+A+U)²= A+L+U+M+I+N+E

What is the number denoted by ALUMINE?

Submitted by K Sengupta

Rating: 5.0000 (1 votes)

Solution: (Hide)

Digits to letters substitution is as follows:
A L U N I M E 1 2 3 6 7 8 9
ALUMINE = 1238769
1113² = 1238769, and:
(1+1+1+3)²= 1+2+3+8+7+6+9.

Comments: ( You must be logged in to post comments.)

Subject	Author	Date
No Subject	K Sengupta	2023-10-03 01:49:18
No Subject	Rosepark	2023-10-02 09:46:02
re(2): Me think , it’s d0. Explaining my reasoning	Ady TZIDON	2023-10-01 21:20:24
Analytic Solution	Brian Smith	2023-09-30 10:18:32
re: Me think , it’s d0	Charlie	2023-09-30 08:31:28
computer solution	Charlie	2023-09-30 08:28:34
Me think , it’s d0	Ady TZIDON	2023-09-30 06:57:10

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:


perplexus dot info