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I have a number. I subtracted five from its half, multiplied the difference by four, and then addedeight. I have the original number. What is the original number?

Respuesta :

SOLUTION:

I have a number. Say

[tex]x[/tex]

I subtracted five from its half, this would be;

[tex]\frac{x}{2}-5[/tex]

multiplied the difference by four, thus;

[tex]4(\frac{x}{2}-5)=2x-20[/tex]

and then added eight, this is

[tex]2x-20+8=2x-12[/tex]

I have the original number.

[tex]\begin{gathered} 2x-12=x \\ -12=-x \\ x=12 \end{gathered}[/tex]

Thus, the original number is 12

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