Final answer:
A cryptarithm is a type of numerical puzzle in which letters are used in place of digits in a mathematical equation. The cryptarithm SKIRT + SKIRT = CLOTHES is solved step by step, with the conclusion that S=5, K=2, R=7, I=9, T=6, C=1, O=0, H=8, E=4. Summing the equivalents, we get 52976 + 52976 = 105952.
Step-by-step explanation:
The subject at hand is a cryptarithm, which is a number puzzle in which a mathematical equation is given, but instead of numbers, letters are used. The goal is to find the digits that make the equation true. The letters cannot represent the same numbers and the numbers cannot start with zero. Here is a step by step solution for SKIRT + SKIRT = CLOTHES:
- First, realise that S + S must equal a number over 10 (carry 1 occurs). So, S must be 5.
- Then, considering the 1 that carries, K + K equals a number ending in 0. The possible solutions would be K equal to 2 (with 1 carried, gives 5) or K equals to 5 (with 1 carried gives 10). But S is already 5, K must equal to 2.
- So, C should be 1 as K (2) + K (2) = 4 is carried as a 1 to the C.
- Make reasonable guesses for the remaining letters to satisfy the equation, then R=7, I=9, T=6, O=0, H=8, E=4.
Therefore, the solution to the cryptarithm SKIRT + SKIRT = CLOTHES is 52976 + 52976 = 105952.
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