Lindsey is 5 years less than half her father's age. The sum of their ages is 79. How old is Lindsey?

L = F/2 - 5

F = 2(L+5)

L + 2(L+5) = 79
Lindsey is 23 and her father is 56

Thanks Steve!

To find out Lindsey's age, we need to set up an equation based on the information given in the question.

Let's assume Lindsey's age is represented by L, and her father's age is represented by F.

From the given information, we know that Lindsey is 5 years less than half her father's age, which can be written as:
L = (1/2)F - 5 ----(equation 1)

Additionally, we are told that the sum of their ages is 79, so we can write:
L + F = 79 ----(equation 2)

Now, we have a system of equations (equation 1 and equation 2) that we can solve to find the values of L and F.

To eliminate one variable, let's multiply equation 1 by 2:
2L = F - 10 ----(equation 3)

Now we can substitute equation 3 into equation 2:
2L + L = 79
3L = 79
L = 79/3

Therefore, Lindsey's age is 79 divided by 3, which is approximately 26.33 years.