Solve separately each of these base ten alphametics. None of the numbers (including those covered under functions) corresponding to any of the following alphametics can contain leading zero.

(I) THOMAS+MALTHUS+1766+1834+RR=RRRRRRR, whenever MOST is divisible by 23.

(II) DINAH+SHORE+1916+1994+TT=TTTTT, where:
sod(DEAR)/sod(HEARTS) = 2/3 and, dr(ROSE) = 4

(III) BENNY+BELL+1906+1999+BBB= DR+DE+MENTO, where:
sod(TRY)/sod(BLEND) = 4/9

Note:sod(x) denotes the sum of digits of x and dr(x) denotes the digital root of x.

Rev. Thomas Robert Malthus (b.1766 - d.1834), a British scholar who was influential with his theories concerning population and economics.
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Dinah [nee Frances Rose] Shore (b.1916 - d.1994), was an American actress, singer and television personality. In 1949, she had the #2 hit recording "Dear Hearts and Gentle People"
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Benjamin "Benny" Bell [nee Zamberg] (b.1906 - d.1999) Wrote the song "Shaving Cream" in 1946, which became a hit after it began playing on Dr. Demento's radio show. Barret Eugene Hansen, a.k.a. Dr. Demento, (b. 1941) was a radio broadcaster in the 1970s. In his show, he would often try novelty songs that were a blend of music and comedy.
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Posted by Dej Mar on 2010-07-25 21:27:32