mitchellkeelan899 mitchellkeelan899
  • 25-06-2020
  • Mathematics
contestada

Tiana is two-fifths of her
sister's age. The sum of their
ages is 14. How old is Tiana?​

Respuesta :

09pqr4sT
09pqr4sT 09pqr4sT
  • 25-06-2020

Answer:

[tex]4[/tex]

Step-by-step explanation:

Tiana's sister age is [tex]x[/tex].

Tiana's age is:

[tex]\frac{2}{5} x[/tex]

Adding their ages gives [tex]14[/tex].

[tex]x+\frac{2}{5} x=14[/tex]

[tex]1.4x=14[/tex]

[tex]\frac{1.4x}{1.4}=\frac{14}{1.4}[/tex]

[tex]x=10[/tex]

Put [tex]x[/tex] as [tex]10[/tex]:

[tex]\frac{2}{5} (10)=4[/tex]

Therefore, Tiana is 4 years old.

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