Question

Each letter represents a digit. The sum of every three consecutive digits is 19.What digit is S?

Answer 1

9514 1404 393

Answer:

  5⬥ = ▼

Step-by-step explanation:

Let's use T, D, C, S to represent the numbers of triangles, diamonds, circles, and squares on each balance. We are given ...

  T +D = C . . . . [eq1]

  T = D +S . . . . [eq2]

  2C = 3S . . . . [eq3]

Using [eq2] to substitute for T in [eq1], we have ...

  (D +S) + D = C

Substituting for C in [eq3] gives ...

  2(2D +S) = 3S

  4D +2S = 3S . . . . . eliminate parentheses

  4D = S . . . . . . . . . . subtract 2S

Substituting this into [eq2], we have ...

  T = D +4D

  T = 5D . . . . . . . . . collect terms. This answers the question.

  5⬥ are needed to balance the scale

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Additional comment

We cannot tell the intent of "Each letter represents a digit. The sum of every three consecutive digits is 19." No letters are shown.