Question

The average of a family of 7 members is 25 years. Find the sum of ages of all members 
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Answer 1

Step-by-step explanation:

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Answer 2

The sum of the ages of members is 175.

Given:

The average of a family of 7 members is 25 years.

To Find:

The sum of ages of all members.

Solution:

To solve this problem, we will use the concept of average.

The average of 'n' observations is calculated as:

Average = $\frac{Sum &\ of &\ all &\ observations}{Total &\ number &\ of &\ observations} = \frac{Sum &\ of &\ all &\ observations}{n}$     .....................(I)

Here, we have a total of 7 family members. Hence, n = 7.

Now, the average of these members = 25 years.

Substituting the given data in equation (I), we have

25 = $\frac{Sum &\ of &\ all &\ observations}{7}$

⇒ The sum of all observations = 25x7 = 175

Here, the sum of all observations = The sum of ages of all members = 175

Hence, the sum of the ages of members is 175.

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