Question

In a family the Average Age of six sons is 8
years and the average age of six sons including
mother and father is 22 years. If father is 8
years older to mother. Then what is the age of
mother?​

Answer 1

Answer:

age of mother is 60

Step-by-step explanation:

a/c to question

average age of 6 sons are 8

then,

total sum of sons age is 8×6=48

Now,

let the age of mother be

$x$

then the age of father according to question is

$x + 8$

a/c to question

the average of 6 sons including mother and father is 22

then equation formed is

$\frac{x + (8 + x) + 48}{8} = 22$

$x + (8 + x) + 48 = 22 \times 8 \\ 2x + 56 = 176 \\ 2x = 176 - 56 \\ 2x = 120 \\ x = 60$

hence the age of mother is 60 and the age of father is 68