Question

A family consist of parents, a son and a daughter. The average age of the parents is 35 yrs, that of the
son is 12 years and that of a daughter is 14 years. What is the average age of the family?​

Answer 1

Answer:

If the average ages of parents in a family is 35 years and the age of son and daughter are 12 and 14 years respectively and if the family consists of parents, the son and the daughter, then the average age of the family is 24 years

step-by-step explanation:



Let S, D, F, and M be the ages of the daughter, son, father, and mother respectively.

Given

The average age of the parents = 35

That is, $\frac{F+M}{2} = 35\\\\F+M = 35*2\\\\F+M = 70$

Given

S= 12 years

D= 14 years

Then,

The average age of the family =

$\frac{S+D+F+M}{4} \\\\= \frac{12+14+70}{4} \\\\=\frac{96}{4}\\\\=24 years$

So, the average age of the family is 24 years.