Lover's Cryptarithm

Logic Level 3

Two lovers, a man and a woman, like to do FLAMES using their names to determine what is their relationship to each other. (FLAMES stands for: Friend, Love, Anger, Marriage, Engaged, Sweet)

L O V E R S + L O V E R S F L A M E S \begin{array}{c}& L & O & V & E & R & S \\ +\quad & L & O &V & E & R & S \\ \hline \quad & F & L& A & M & E & S \\ \hline \hline \end{array} The lovers also makes a cryptarithm as seen on the above. Each letter represents a number. How many different possible sums are there?

1 2 3 4 5 6 None of the above

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1 solution

Brian Dela Torre
Sep 27, 2015

Solution: I've work it by myself so It can be solved using knowledge of the basic Arithmetic facts and the addition algorithms

THE SOLUTIONS ARE THE FOLLOWING.

369210 + 369210 = 738420

156470 + 156470 = 312940

158470 + 158470 = 316940

472680 + 472680 = 945360

261890 + 261890 = 523780

Hence the number of possible solution is 5.

I've work it by myself so please report my problem if there are any flaws. Thank you.

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