perplexus.info :: Numbers : Square Alphametics

Square Alphametics (Posted on 2011-04-09)

Solve separately each of these base ten alphametics, where each of the capital letters in bold denotes a different base ten digit from 0 to 9. None of the numbers inclusive of these alphametics can contain a leading zero.

(I) Each of FREE, AREA, PURR and SPFA is a perfect square.

(II) Each of MEER, EMMA, EMIR and RARE is a perfect square.

(III) Each of ROME, ONCE, MCML and EELS is a perfect square.

Submitted by K Sengupta

Rating: 5.0000 (1 votes)

Solution: (Hide)

FREE=6400, AREA= 9409, PURR=3844, SPFA=1369.
MEER=2116, EMMA=1225, EMIR=1296, RARE=6561.
ROME=7921, ONCE=9801, MCML=2025, EELS=1156.

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

	Subject	Author	Date
	No Subject	Ady TZIDON	2011-04-09 12:03:24

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