Question
The average age of three people running for election is 42, a fourth person joins the race and the average drops to 40. What is the fourth person age?
Answers
GPT-4o mini
To find the age of the fourth person, we can use the information given about the average ages.
1. The average age of the first three people is 42. This means that the total age of the three people can be calculated as follows:
\[
\text{Total age of the first three people} = \text{Average age} \times \text{Number of people} = 42 \times 3 = 126
\]
2. When the fourth person joins, the average age drops to 40. Now we have four people, so we can compute the total age of all four people:
\[
\text{Total age of all four people} = \text{Average age} \times \text{Number of people} = 40 \times 4 = 160
\]
3. Now, we can find the age of the fourth person by subtracting the total age of the first three people from the total age of all four people:
\[
\text{Age of fourth person} = \text{Total age of all four people} - \text{Total age of the first three people} = 160 - 126 = 34
\]
Thus, the age of the fourth person is \( \boxed{34} \).
1. The average age of the first three people is 42. This means that the total age of the three people can be calculated as follows:
\[
\text{Total age of the first three people} = \text{Average age} \times \text{Number of people} = 42 \times 3 = 126
\]
2. When the fourth person joins, the average age drops to 40. Now we have four people, so we can compute the total age of all four people:
\[
\text{Total age of all four people} = \text{Average age} \times \text{Number of people} = 40 \times 4 = 160
\]
3. Now, we can find the age of the fourth person by subtracting the total age of the first three people from the total age of all four people:
\[
\text{Age of fourth person} = \text{Total age of all four people} - \text{Total age of the first three people} = 160 - 126 = 34
\]
Thus, the age of the fourth person is \( \boxed{34} \).