stefrae6161 stefrae6161
  • 02-04-2019
  • Mathematics
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A number is divided by 3 and then 5 is subtracted from the quotient the result is 1. Whats the number?

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kudzordzifrancis
kudzordzifrancis kudzordzifrancis
  • 12-04-2019

ANSWER

The number is 18.

EXPLANATION

Let the number be x.

When this number is divided by 3, we obtain the quotient,

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

When 5 is subtracted from this quotient, we get,

[tex] \frac{x}{3} - 5[/tex]

If the result is 1, then we have;

[tex] \frac{x}{3} - 5 = 1[/tex]

We group similar terms to get,

[tex] \frac{x}{3} = 1 + 5[/tex]

This gives us,

[tex] \frac{x}{3} = 6[/tex]

Multiply both sides by 3.

[tex]x = 6 \times 3[/tex]

[tex]x = 18[/tex]

Therefore the number is 18.

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