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Your younger sibling runs up to you and excitedly exclaims, "I'm thinking of a number. If I add it to the number 2 ten times, that is, 2 + my number + my number + my number, and so on, then the answer is 2. What is my number?" You almost immediately answer, "zero," but are you sure? Can you find a different number (other than zero) that has the same property? If not, can you justify that your answer is the only correct answer?

Respuesta :

MrRoyal

Answer:

[tex]x = 0[/tex]

Step-by-step explanation:

Given

Represent the number with x.

So:

[tex]2 + x + x + x + x + x + x + x + x + x + x = 2[/tex]

or

[tex]2 + 10x = 2[/tex]

We want to solve for x

Subtract both sides by 2

[tex]2 - 2 + 10x = 2 - 2[/tex]

[tex]10x = 0[/tex]

Solve for x

[tex]x = \frac{0}{10}[/tex]

[tex]x = 0[/tex]

No other number aside 0, satisfy the property.

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