perplexus.info :: Numbers : Multiple of Square is a Number Repeated Twice

Multiple of Square is a Number Repeated Twice (Posted on 2023-12-13)

In this alphametic each of J,R, and M represents a different digit from 0 to 9.
• N is a positive integer.
• None of the numbers can correspond to a leading zero.

          N*JRM*JRM = JRMJRM

Submitted by K Sengupta

Rating: 4.5000 (2 votes)

Solution: (Hide)

N*JRM*JRM = JRMJRM
Now, JRMJRM =1001*JRM
Therefore, N*JRM =1001 = 7*11*13
=> N*JRM = 7*(11*13) = 7*143
=> N =7, J = 1, R= 4, M =3
Consequently, 7*143*143 = 143143

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

Subject	Author	Date
Answer	Math Man	2023-12-14 17:46:17
solution	Larry	2023-12-13 07:37:21

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