Ann is five years older than twice her brother Dan's age, a. Write an algebraic expression to represent the sum od their ages.

Let's represent Dan's age as 'a'.

Twice Dan's age would be 2a.

Ann is five years older than twice Dan's age, so her age would be 2a + 5.

Therefore, the algebraic expression to represent the sum of their ages would be:
a + (2a + 5) or 3a + 5.

To write an algebraic expression to represent the sum of their ages, let's break down the problem.

We know that Ann is five years older than twice her brother Dan's age. Let's represent Dan's age using the variable "a".

Twice Dan's age can be written as 2a.

And Ann being five years older than twice Dan's age can be written as 2a + 5.

To represent the sum of their ages, we add Dan's age (a) to Ann's age (2a + 5):

a + (2a + 5)

Simplifying the expression further, we get:

3a + 5

The algebraic expression to represent the sum of their ages is 3a + 5.