# <span lang="EN-US

Let the no of members in family be 'n'.

Mean age = 25

Let x1, x2, …, xn be ages of family members.

We know,

Arithmetic mean of x1, x2, x3, …, xn (n observations) is Therefore, 5 years ago

mean age,  x1 + x2 + …+ xn = 25n 

In present, age of each family member will be increase by 5, therefore ages will be

x1 + 5, x2 + 5, …, xn + 5

Present mean age,   [From 1] Hence, Present mean age is 30.

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