Question

The average age of a family is 35 years. After 10 years, twins were born in the family then the average age of the family becomes 36 years. How many members are there in the family except twins?

Answer 1

Answer:

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Answer 2

There are 8 members in the family except twins.

Given - Average

Find - Number of family members except twins

Solution - Let the number of members in family except twins be x.

The formula of average to be used in the formula-

Average = sum of the age of all family members ÷ total number of family members

Before twins were born -

35 = Sum ÷ x

Sum = 35x

After twins were born -

Sum of the age of all family members = Sum + 10×x (Age of newborn will be less than 1, so will not be included)

Sum of the age of all family members = 35x + 10x

Sum of the age of all family members = 45x

Total number of family members = x + 2

36 = 45x ÷ (x + 2)

36 (x + 2) = 45x

36x + 72 = 45x

72 = 45x - 36x

72 = 9x

x =

$\frac{72}{9}$

x = 8

Thus, there are 8 family members except twins.

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