ishayeluri ishayeluri
  • 07-12-2019
  • Mathematics
contestada

If 28% of a number is 63 less than 84% of the number, what is the number?

Respuesta :

AdeTolu
AdeTolu AdeTolu
  • 08-12-2019

Answer:

126

Step-by-step explanation:

28% of x = 63 less than 84% of x

[tex] \frac{28}{100}x = 63[/tex]

Applying cross multiplication rule,

[tex]28x = 100 \times 63[/tex]

[tex]28x = 6300[/tex]

Divide through by 28

[tex] \frac{28x}{28} = \frac{6300}{28} [/tex]

[tex]x = 225[/tex]

To check, 28% of 225 is 63

Since x = 225,

84% of 225 implies

[tex] \frac{84}{100} \times 225 = 189[/tex]

That is, 84% of 225 =189

Hence, 28% of x less than 84% of x implies

[tex]189 - 63 = 126[/tex]

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