perplexus.info :: Numbers : ten*ten

ten*ten – ten = ninety (Posted on 2009-10-25)

In this alphametic equation, each of the small letters in bold denotes a different base b digit from 0 to b-1. Neither t nor n can be zero.

(ten)*(ten) - ten = ninety

Determine the minimum value of b, for which there exists at least one solution to the above equation.

Submitted by K Sengupta

Rating: 4.5000 (2 votes)

Solution: (Hide)

The minimum value of b is 11. The letter to digit assignment is as follows:
t e n i y 6 7 4 0 1
The given equation when completed is given by :
(674)₁₁ * (674)₁₁ - (674)₁₁ = (404761)₁₁
For an explanation, refer to the computer program assisted solution submitted by Charlie in this location.
The next larger solution corresponds to base 66, and is submitted by Brian Smith in this location.

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

Subject	Author	Date
Next larger solution	Brian Smith	2009-10-30 22:59:24
re(2): the code I used	Charlie	2009-10-25 14:56:38
re: the code I used	Jim Keneipp	2009-10-25 14:05:44
the code I used	Charlie	2009-10-25 13:44:22
Computer Solution	Jim Keneipp	2009-10-25 13:27:13

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