perplexus.info :: Just Math : Math in letters 2

Math in letters 2 (Posted on 2023-10-04)

LM/(MN-N)=N.LMMMM...

What digits are L, M, and N?

No Solution Yet Submitted by Math Man

Rating: 4.6667 (3 votes)

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Possible Solution

| Comment 2 of 4 |

(10a+b)/(10b)= c+a/10+(b/90), (10a+b)/b = 1/9(9a+b+90c)

Noting that 3 and 9 are the factors of 9:

(10a+3)/3 = 1/9 (9a+3+90c)

c = (7a)/30 + 1/15, c has to be 1 for a<10, while a=4

then 43/(31-1)=1.43333

so L=4,M=3,N=1

Edited on October 4, 2023, 10:22 am

Posted by broll on 2023-10-04 10:00:34

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