The sum of brandon and Sarah's ages is thirty-six brandon is ten years younger than sarah how old is brandon?
B + B + 10 = 36
2B = 26
B = 13
To find out how old Brandon is, we need to set up an equation based on the given information. Let's denote Sarah's age as "S" and Brandon's age as "B". We know two things: the sum of Brandon and Sarah's ages is thirty-six, and Brandon is ten years younger than Sarah.
Translating these statements into a mathematical equation, we get:
B + S = 36 (The sum of their ages is thirty-six)
B = S - 10 (Brandon is ten years younger than Sarah)
Now we can solve this system of equations using substitution or elimination method to find the values of B and S.
Substituting the value of B from the second equation into the first equation:
(S - 10) + S = 36
2S - 10 = 36
Adding 10 to both sides:
2S = 46
Dividing both sides by 2:
S = 23
Now we know that Sarah's age is 23. To find Brandon's age, we substitute this value back into the second equation:
B = 23 - 10
B = 13
Therefore, Brandon is 13 years old.