Conner is 8 years older than Brianna the sum of their ages is 32 how old are Conner and Brianna
Step 1: Let's assume Brianna's age as "x".
Step 2: According to the given information, Conner is 8 years older than Brianna. So, Conner's age would be "x + 8".
Step 3: The sum of their ages is given as 32. Therefore, the equation would be: x + (x + 8) = 32.
Step 4: Simplify the equation: 2x + 8 = 32.
Step 5: Subtract 8 from both sides of the equation: 2x = 24.
Step 6: Divide both sides of the equation by 2: x = 12.
Step 7: Now we know that Brianna is 12 years old (x = 12).
Step 8: To find Conner's age, substitute the value of x into Conner's age equation: Conner's age = x + 8 = 12 + 8 = 20.
Step 9: So, Conner is 20 years old and Brianna is 12 years old.
To solve this problem, we need to set up a system of equations. Let's define "C" as Conner's age and "B" as Brianna's age.
According to the problem, we know that Conner is 8 years older than Brianna, so we can write the following equation:
C = B + 8 -- Equation 1
We also know that the sum of their ages is 32:
C + B = 32 -- Equation 2
Now we have a system of two equations. We can solve it using substitution or elimination.
Let's solve it using substitution:
Substitute Equation 1 into Equation 2:
(B + 8) + B = 32
Combine like terms:
2B + 8 = 32
Subtract 8 from both sides:
2B = 24
Divide both sides by 2:
B = 12
Now that we know Brianna's age is 12, we can substitute this value back into Equation 1:
C = 12 + 8
C = 20
Therefore, Conner is 20 years old and Brianna is 12 years old.
b + b + 8 = 32
2b = 24
b = 12
Brianna is 12.