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
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