quackygirl2009
quackygirl2009 quackygirl2009
  • 03-04-2020
  • Mathematics
contestada

Subtract 6 from me. Then multiply by 2. If you subtract 40 and then divide by 4, you get 8. What number am I?

Respuesta :

TaeKwonDoIsDead
TaeKwonDoIsDead TaeKwonDoIsDead
  • 08-04-2020

Answer:

42

Step-by-step explanation:

Let the number be "x"

We translate the word equation to algebraic equation.

First,

subtract 6 from me, so we have:

x - 6

Now,

Multiply by 2, so we have:

2(x-6)

Now,

Subtract 40, then divide by 4:

[tex]\frac{2(x-6)-40}{4}[/tex]

Now, you get "8", so equate this to 8, we get:

[tex]\frac{2(x-6)-40}{4}=8[/tex]

We now solve using algebra:

[tex]\frac{2(x-6)-40}{4}=8\\2(x-6)-40=4*8\\2(x-6)-40=32\\2x-12-40=32\\2x-52=32\\2x=32+52\\2x=84\\x=42[/tex]

The number is 42

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