A girl is three years older than her brother. If their combined age is 35 years, how old is each?
x + x + 3 = 35
2x = 32
x = 16
a girl is three years older than her brother.if their combined age is 35 years,how old is each
No
To solve this problem, we can break it down into steps:
Step 1: Assign variables.
Let's say the girl's age is represented by G, and the brother's age is represented by B.
Step 2: Set up equations.
From the problem, we know that the girl is three years older than her brother. This can be expressed as:
G = B + 3
We also know that their combined age is 35 years:
G + B = 35
Step 3: Solve the equations.
Now we have a system of two equations with two variables:
G = B + 3
G + B = 35
From the first equation, we can substitute G + 3 for B in the second equation:
G + (G + 3) = 35
2G + 3 = 35
2G = 32
G = 16
Now we can substitute G = 16 back into the first equation to find B:
16 = B + 3
B = 13
Therefore, the girl is 16 years old and her brother is 13 years old.