romeroyayajjj romeroyayajjj
  • 11-11-2019
  • Mathematics
contestada

80 decreased by 3 times a number is the same as 5 times the number increased by 8 find the number.

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KerryEye KerryEye
  • 11-11-2019

Answer:

The number is 5.

Step-by-step explanation:

Let the number be [tex]$ x $[/tex].

Given [tex]$ 80 $[/tex] is decreased [tex]$ 3 $[/tex] times [tex]$ x $[/tex].

[tex]$ \implies 80 - 3x $[/tex]

[tex]$ 5 $[/tex] times the number increased by [tex]$ 8 $[/tex].

[tex]$ 5(x + 8) $[/tex]

This means:

[tex]$ 8 - 3x = 5(x + 8) $[/tex]

[tex]$ \implies 8x = 40 $[/tex]

[tex]$ \implies x = 5 $[/tex]

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