lisa is 6 years older than Tom. Their father's age is twice the sum of their ages. How old is lisa if her dad is 32?

This looks like a math problem. If Jefferson is your school subject, I fail to see what math has to do with the third president. If you need a math tutor, you might say so in the School Subject box.

L = T+6

F = 2(L+T)
F = 32

2(L+T) = 32
2(L+L-6) = 32
2L-6=16
L=11

To determine Lisa's age, let's break down the problem step by step.

We are given the following information:
1. Lisa is 6 years older than Tom.
2. Their father's age is twice the sum of their ages, which we know is 32 years.

Let's start by assigning variables:
Let's say Tom's age is "t" years.
If Lisa is 6 years older than Tom, we can express Lisa's age as "t + 6" years.

The sum of their ages is t + (t + 6) = 2t + 6.
According to the given information, their father's age is twice the sum of their ages, which is 2(2t + 6) = 32 years.

Now, let's solve the equation:
2(2t + 6) = 32.
Expanding the equation:
4t + 12 = 32.
Subtracting 12 from both sides:
4t = 20.
Dividing both sides by 4:
t = 5.

So, Tom is 5 years old.

Now we can find Lisa's age:
Lisa's age = Tom's age + 6 = 5 + 6 = 11.

Therefore, Lisa is 11 years old.