20012007429 20012007429
  • 09-04-2022
  • Mathematics
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I think of a number and add one fourth of it to half of it and the result is twelve. What is the number I thought of?

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hnori22003
hnori22003 hnori22003
  • 09-04-2022

Suppose that the number u were thinking about is x thus :

[tex] \frac{1}{4} x + \frac{1}{2} x = 12 \\ [/tex]

Multiply both sides by 4

[tex]4 \times ( \frac{1}{4} x + \frac{1}{2} x) = 4 \times 12 \\ [/tex]

[tex]x + 2x = 48[/tex]

[tex]3x = 48[/tex]

Divide both sides by 3

[tex] \frac{3x}{3} = \frac{48}{3 } \\ [/tex]

[tex]x = 16[/tex]

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