Math Problem Statement

五個小朋友的平均年齡是 10.4 歲。三年後,他們的平均年齡會有什麼變化? A. 保持不變 B. 增加 0.6 歲 C. 增加 3 歲 D. 無法確定

Solution

The problem is in Chinese and translates as follows:

Currently, the average age of five friends is 10.4 years. What will the average age be in three years?

Options:

  1. AA: No change
  2. BB: Increase by 0.6 years
  3. CC: Increase by 3 years
  4. DD: Cannot be determined

Solution

The current average age of the five friends is 10.4 years. This means the total of their ages is: 10.4×5=52 years10.4 \times 5 = 52 \text{ years}

After three years, each friend's age will increase by 3 years, so the total increase in their combined ages will be: 5×3=15 years5 \times 3 = 15 \text{ years}

Thus, the new total age will be: 52+15=67 years52 + 15 = 67 \text{ years}

Now, the new average age after three years will be: 675=13.4 years\frac{67}{5} = 13.4 \text{ years}

So the average age increases by: 13.410.4=3 years13.4 - 10.4 = 3 \text{ years}

Answer:

The correct answer is CC: Increase by 3 years.

Would you like a more detailed explanation, or do you have any questions?


Related Questions

  1. What would be the average age in five years?
  2. If one more friend, aged 12, joins the group, how would it affect the average age?
  3. How do changes in the number of people in a group affect the average?
  4. What is the effect on the average if only three of the five friends grow older by three years?
  5. How would the average age change if two of the friends were younger than the others?

Tip

Remember, an average increases uniformly if the same amount is added to each member of the group.

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Averages
Arithmetic Progression

Formulas

New average age = (Current total age + Total increase) / Number of people

Theorems

-

Suitable Grade Level

Grade 5-7