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.

Answer Link

Otras preguntas

whats the most accurate estimation of 65+77
''Life in a city is more rewarding than life outside a city."List two or three arguments in favor of this opinion and two or three arguments opposing this opini
why did people immigrate to the United States in the late 1800s?
why did people immigrate to the United States in the late 1800s?
A pencil measures 14 cm long. How many millimeters long is it?
A pencil measures 14 cm long. How many millimeters long is it?
whats the most accurate estimation of 65+77
''Life in a city is more rewarding than life outside a city."List two or three arguments in favor of this opinion and two or three arguments opposing this opini
A pencil measures 14 cm long. How many millimeters long is it?
whats the most accurate estimation of 65+77