Ann is five years older than twice her brother Dan's age, a. Write an algebraic expression to represent the sum of their ages.
Dan's age ---- a
Ann's age ---- 2a + 5
sum of their ages = a + 2a+5
3x+5
To represent the sum of Ann and Dan's ages algebraically, we first need to define the variables. Let's say:
- a represents Dan's age
Since we are given that Ann is five years older than twice Dan's age, we can represent Ann's age as:
Ann's age = 2a + 5
Now, to represent the sum of their ages algebraically, we simply add Dan's age (a) to Ann's age (2a + 5):
Sum of their ages = a + (2a + 5)
Simplifying the expression, we get:
Sum of their ages = 3a + 5