kathymyers72
kathymyers72 kathymyers72
  • 03-02-2020
  • Mathematics
contestada

The difference in age between Brita and her daughter Eva is 30 years. The sum or their ages is 118. How old is Eva?

Respuesta :

bayosanuade
bayosanuade bayosanuade
  • 04-02-2020

Answer: 44 years

Step-by-step explanation:

Let Brita's age be x and the daughter's age be y , then from the first statement :

[tex]x - y = 30[/tex]

From the second statement :

[tex]x + y = 118[/tex]

solving the resulting linear equation , add the two equations , we have

[tex]2x = 148[/tex]

[tex]x = 74[/tex]

substitute 74 into equation 1 to find the value of y

[tex]74- y = 30[/tex]

[tex]y = 74 - 30[/tex]

[tex]y = 44[/tex]

Therefore :

Eva = 44 years

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