The average age of a husband and wife, who were married 4 years ago, was 25 years at the time of their marriage. The average age of the family consisting of husband, wife and a child, bom during the interval is 20 years today. The age of the child is

Options

A. 1 year
B. 2 years
C. 2.5 years
D. 3 years

Answer

To solve the problem step by step, we will break down the information given and perform the necessary calculations.

### Step 1: Determine the current age of the husband and wife
- The average age of the husband and wife at the time of their marriage (4 years ago) was 25 years.
- Since there are two people (husband and wife), the total age of both at that time was:
\[ \text{Total age at marriage} = 25 \times 2 = 50 \text{ years} \]
- Four years have passed since their marriage, so we need to add 4 years to each of their ages:
\[ \text{Current total age} = 50 + 8 = 58 \text{ years} \]

### Step 2: Determine the average age of the family today
- The family consists of the husband, wife, and their child. The average age of this family today is given as 20 years.
- Since there are three members in the family (husband, wife, and child), the total age of the family today is:
\[ \text{Total age of family} = 20 \times 3 = 60 \text{ years} \]

### Step 3: Calculate the age of the child
- We already calculated the current total age of the husband and wife as 58 years.
- To find the age of the child, we subtract the total age of the husband and wife from the total age of the family:
\[ \text{Age of child} = \text{Total age of family} - \text{Current total age of husband and wife} \]
\[ \text{Age of child} = 60 - 58 = 2 \text{ years} \]

### Final Answer
The age of the child is **2 years**.

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