Brittney is 5 years older than her brother Brandon. Three years from now, the sum of their ages will be 23. How old is Brandon now?
6 + 11 =17 now
3 years from now
9 + 14 = 23
proper steps:
present age of Brandon ---- x
present age of Brittney ----- x+5
Three years from now:
Brandon------> x+3
Brittney -------> x+5+3 = x+8
x+3 + x+8 = 23
2x = 12
x = 6
Brandon is now 6, and Brittney is 11
Let's solve this problem step by step.
Step 1: We'll start by assigning variables to the given information.
Let B represent Brandon's current age.
Let B + 5 represent Brittney's current age (since she is 5 years older than Brandon).
Step 2: We'll use the information that three years from now, the sum of their ages will be 23.
Three years from now, Brandon will be B + 3 years old, and Brittney will be (B + 5) + 3 years old.
So, the equation based on this information will be:
(B + 3) + ((B + 5) + 3) = 23
Step 3: Now, we'll simplify and solve the equation.
(B + 3) + (B + 5) + 3 = 23
Simplifying the equation:
2B + 11 = 23
Subtracting 11 from both sides of the equation:
2B = 12
Dividing both sides by 2:
B = 6
Step 4: Therefore, Brandon is currently 6 years old.
So, the answer is that Brandon is currently 6 years old.
To solve this problem, let's assign variables to the unknown quantities. Let's say Brandon's current age is "B" years.
According to the problem, Brittney is 5 years older than Brandon, so her current age would be "B + 5" years.
Three years from now, Brandon's age would be "B + 3" years, and Brittney's age would be "(B + 5) + 3" years.
The problem states that the sum of their ages three years from now will be 23. So, we can write the following equation:
(B + 3) + (B + 5 + 3) = 23
Now, let's solve the equation step by step:
Combine like terms:
2B + 11 = 23
Subtract 11 from both sides of the equation:
2B = 12
Divide both sides by 2 to solve for B:
B = 6
Therefore, Brandon is currently 6 years old.