Algebraic equations are equations that consist of unknown variables.
The question above has to do with age difference, algebraic equations is the way to solve for the age difference amongst two or three people.
Adam is 39 years old, Brandon is 13 years old and Carmen is 9 years old.
Let's represent
Adam's age = a
Brandon's age = b
Carmen's age = c
Our system of equations is given as:
- The sum of the ages of Adam, Brandon, and Carmen is 61
Hence: a + b + c = 61............Equation 1
- Adam is 3 times as old as Brandon.
Hence: a = 3b
- Brandon is 4 years younger than carmen
Hence: c = b - 4,
We substitute 3b for a, b + 4 for c in equation 1
3b + b + b - 4 = 61
5b - 4 = 61
5b = 61 + 4
5b = 65
Divide both sides by 5
5b/5 = 65/5
b = 13
Therefore, Brandon is 13 years old.
Solving for Adam's age
a = 3b
a = 3 x 13
a = 39
Therefore, Adams is 39 years old.
Solving for Carmen's age
c = b - 4
c = 13 - 4
c = 9
Therefore, Carmen is 9 years old.
To learn more, visit the link below:
https://brainly.com/question/14210139
