Respuesta :

The answer is 8, by adding 9 and 6 you get 15, subract 15 by 7, you get 8. 

The number is 8.

GIven to us

  • if you multiply me by 7, subtract 2, then divide by 6, you get 9.

Divide

Divide the problem into 4 parts to make it easy.

  • if you multiply me by 7
  • subtract 2
  • then divide by 6
  • you get 9.

Assumption

Let the number be x.

Part A

if you multiply me by 7,

[tex]x\times 7 = 7x[/tex]

Part B

subtract 2,

[tex]7x-2[/tex]

Part C

then divide by 6,

[tex]\dfrac{7x-2}{6}[/tex]

Part D

you get 9,

[tex]\dfrac{7x-2}{6} =9[/tex]

Solving the equation for x,

[tex]\dfrac{7x-2}{6} =9\\\\7x-2 = 9\times 6\\7x-2 = 54\\7x = 54+2\\7x = 56\\\\x = \dfrac{56}{7}\\\\x = 8[/tex]

Hence, the number is 8.

Learn more about Numbers:

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