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Clare asks Andre to play the following number puzzle: Pick a number Add 2 Multiply by 3 Subtract 7 Add your original number Andre’s final result is 27. Which number did he start with?

Respuesta :

Answer:

Andre started with the number 7.

Step-by-step explanation:

We are given the following information in the question:

A number puzzle:

" Pick a number Add 2 Multiply by 3 Subtract 7 Add your original number Andre’s final result is 27."

Let x be the starting number. Ten, we can write:

Pick a number and add 2:

[tex]x+2[/tex]

Multiply by 3:

[tex]3(x+2)[/tex]

Subtract 7

[tex]3(x+2)-7[/tex]

Add your original number

[tex]3(x+2)-7+x[/tex]

The final result is 27.

[tex]3(x+2)-7+x = 27\\3x + 6-7+x = 27\\(3x+x) + (6-7) = 27\\4x - 1 = 27\\4x = 28\\x = 7[/tex]

Thus, the number Andre started with was 7.

Q&A Education