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12/35 less than the quotient of a number and 5 is the quotient of the number and 7. Find the number​

Sagot :

Cherrybarbozego

Answer:

x = 1

Step-by-step explanation:

let x = be he number

[tex] \frac{12}{35} - \frac{x}{5} = \frac{x}{7} [/tex]

find the LCD:(35)

[tex]( \frac{12}{35} - \frac{x}{5} = \frac{x}{7} )35[/tex]

[tex]12 - 7x = 5x[/tex]

[tex] - 7x - 5x = - 12[/tex]

[tex] \frac{ - 12x}{ - 12} = \frac{ - 12}{ - 12} [/tex]

[tex]x = 1[/tex]

CHECKING:

[tex] \frac{12}{35} - \frac{x}{5} = \frac{x}{7} [/tex]

[tex]( \frac{12}{35} - \frac{1}{5} = \frac{1}{7} )35[/tex]

[tex]12 - 7 = 5[/tex]

[tex]5 = 5[/tex]

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