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DAYS + TOO = SHORT, then find S + H + O + R + T?Choices:- 11 12 13 14

Question

DAYS + TOO = SHORT, then find S + H + O + R + T?Choices:- 11 12 13 14

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Solution

This is a cryptarithm, a number-based puzzle. The goal is to find the digits that make the equation true. The same letter represents the same digit and different letters represent different digits.

Let's solve it step by step:

  1. From "DAYS + TOO = SHORT", we can see that "TOO" is a three-digit number and "DAYS" is a four-digit number. Their sum results in a five-digit number "SHORT". This means that the number "DAYS" must start with 1 to carry over a value to "TOO" to make "SHORT" a five-digit number. So, D = 1.

  2. Since D = 1, "TOO" + 1 results in a number that ends with 0. This means that O + 1 = 10. So, O = 9.

  3. Now, we know that when we add S (a single digit number) to 1, we get a two-digit number. This means that S must be 9. But 9 is already assigned to O. So, S = 8.

  4. Now, we have T + S = H0. Since we know S = 8, T + 8 = H0. The maximum value that T can have is 9 (since 1 and 8 are already assigned). But 9 + 8 = 17, which is a two-digit number. This means that T = 1 and H = 0.

  5. Now, we have D = 1, O = 9, S = 8, H = 0, and T = 1.

  6. So, S + H + O + R + T = 8 + 0 + 9 + 1 + 1 = 19.

However, none of the choices match this result. There might be a mistake in the question or the choices provided.

This problem has been solved

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