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.
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