Question

The present age of a woman is six times that of her only daughter, Aastha. Her husband's age is

two years more than seven times Aastha's present age. The average present age of Aastha, her

parents and her only brother (who is the youngest of all the four members) is 15 years. By how

many years is Aastha elder to her brother?​

Answer 1

Answer:

Aastha is 2 year elder to her brother

Step-by-step explanation:

Let say Ashta Age = A Years

The present age of a woman is six times that of her only daughter

=> Woman Age = 6A  Years

husband's age is two years more than seven times Aastha's present age

=> Husband age = 7A + 2

The average present age of Aastha, her parents and her only brother (who is the youngest of all the four members) is 15 years.

=> Their total Age = 4 * 15 = 60

Brother Age = 60 - A - 6A - 7A - 2

=> Brother Age = 58 - 14A

Brother Age < Aastha age

=> 0 < 58 - 14A < A

=> 58/15  < A < 58/14  

=> 3.87 < A < 4.14

=> A = 4

Aastha age = 4 Years

Brother Age = 58 - 14A = 58 - 56 = 2 Years

=> Aastha is 2 year elder to her brother

30 , 24 , 4 , 2  are ages