Respuesta :
a+b+c=68
b-3=a
c-5=b
now just solve the system of equations, substitue so that there are only b's in the equation:
a+b+c=68
(b-3) + b + (b+5) = 68
3b=66
b=22
Therefore Barbara is 22
The required age of barbar is 22 years.
Alice, Barbara, and Carol are sisters. Alice is 3 years younger than Barbara, and Barbara is 5 years younger than Carol. Together the sisters are 68 years old. How old is Barbara to be determined.
What is arithmetic?
In mathematics, it deals with numbers of operations according to the statements.
Let the age of Alice, Barbara and Carol are a, b and c.
Age Alice is 3 years younger than Barbara,
a = b - 3 - - - -(1)
Age Barbara is 5 years younger than Carol
b = c - 5
c = b + 5 - - - -(2)
Together the sisters are 68 years old i.e.
a + b +c =68
From equation 1 and 2
b - 3 + b + b +5 = 68
3b + 2 = 68
3b = 66
b = 33
Thus, the required age of barbar is 22 years.
Learn more about arithmetic here:
brainly.com/question/14753192
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