1
There are only 5 people in Aman Barma's family. Aman, his wife, a son and 2 daughters.The younger daughter's age is 4/5th of the elder
daughter's age. The age of eldest daughter is 3/8 times that of her father Aman and the age of the son is 1/5th that of his father Aman 4
years ago the age of her wife was 8 times that of his son and now the sum of the age of the younger and wife is same as the sum of the
ages of Aman and Son. The average age of the family is:
Answers
Answer:
22.22
Step-by-step explanation:
let older sister be 'x'
younger sister is 4x/5
father is 8x/3
son is 8x/15
wife is {(8x/15)-4}×8 ... 4 yrs ago
today wife is (64x/15)-28
by conditions
(4x/5)+(64x/15)-28=(8x/3)+(8x/15)
hence x=15
Given,
Total members = 5
The younger daughter's age is 4/5th of the elder daughter's age
The age of the eldest daughter is 3/8 times that of her father Aman
The age of the son is 1/5th that of his father Aman
The sum of the age of the younger and wife is the same as the sum of the ages of Aman and Son
4 years ago the age of her wife was 8 times that of his son
To Find,
The average age of the family is =?
Solution,
Let the age of the elder daughter be x
The younger daughter's age is 4/5th of the elder daughter's age
The age of younger daughter = 4 / 5 of x = 4x / 5
The age of the eldest daughter is 3/8 times that of her father Aman
x = 3 / 8 of the age of father Aman
The age of the Aman = 8x / 3
The age of the son is 1/5th that of his father Aman
The age of the son = 1 / 5 of 8x / 3
The age of the son = 8x / 15
4 years age, The age of the wife = 8 times the age of the son
4 years age, The age of wife = 8*(8x/ 15 - 4)
The age of wife now = 64x / 15 - 32 + 4
The age of wife now = 64x / 15 - 28
According to the question, the sum of the age of the younger daughter and wife is the same as the sum of the ages of Aman and Son
4x/5 + 64x / 15 - 28 = 8x / 15 + 8x / 3
(12x + 64x) /15 - (8x + 40x) / 15 = 28
12x + 64x - 8x - 40x = 28 * 15
28x = 28*15
x = 15
The age of the elder daughter = 15 years
The age of younger daughter = 4 * 15 /5 = 12 years
The age of the Aman = 8*15 / 3 = 40 years
The age of the son = 8*15 / 15 = 8 years
The age of wife now = 64*15 / 15 - 28 = 64 - 28 = 36 years
The average age of the family = (15 + 12 + 40 + 8 + 36) / 5
The average age of the family = 111 / 5
The average age of the family = 22.2 years
Hence, the average age of the family is 22.2 years.