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If the quotient of a number and 6 is added to twice the number, the result is 8 less than the
number. Find the number

Sagot :

helenbeastie

Answer:

[tex]\frac{x}{6} +2x=x-8\\\frac{x}{6} +2x-x+8=0\\\frac{x}{6} +x+8=0\\x+6x+48=0\\7x+48=0\\7x=-48\\x=-6\frac{6}{7}[/tex]

Lanuel

Based on the calculations, the number is equal to [tex]\frac{48}{7}[/tex]

  • Let the number be n.

What is quotient?

Quotient is a mathematical expression that is simply used to represent division i.e the division of a number by another number.

Translating the word problem into an equation, we have:

[tex]\frac{n}{6} +2n=n-8\\\\n+12n=6n-48\\\\13n=6n-48\\\\13n-6n=48\\\\7n=48\\\\n=\frac{48}{7}[/tex]

Read more on quotient here: brainly.com/question/748723

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