Respuesta :

Answer:

Age of Eva =  15 Years

Age of Carrie = 45 Years

Step-by-step explanation:

Let the age of Eva be X years

Given that Carrie is 3 times as old as Eva

Therefore age of Carrie = 3X YEARS.

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After 15 years

Age of Eva = X + 15

Age of Carrie = 3X +15

Given that Carrie is twice as old as Eva

so according to this condition

age of Carrie = 2*Age of Eva

Substituting the age of Eva and Carrie

3X +15 = 2*(X + 15 )

=> 3X +15 = 2X +30

=> 3X - 2X = 30 - 15

=> X = 15

Since X was assumed age of Eva so age of Eva is 15 years

age of Carrie = 3X years = 3*15 = 45 years.

Carrie is 45 years old and eva is 15 years old

Simultaneous equations

  • Let the age of carriee be x
  • Let the age of Eva be y

If carrie is 3 times as old as Eva, then;

x = 3y

If in 15 years Carrie will be twice as old as Eva, then;

(x+15) = 2(y+15)

Substitute equation 1 into 2

3y + 15 = 2y + 30

y = 30 - 15

y = 15

Since x = 3y

x = 3(15)

x = 45

Hence Carrie is 45 years old and eva is 15 years old

Learn more on simultanous equation here:

https://brainly.com/question/16863577

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