Question

a father said to his eldest son" I'm thrice as old as your youngest sister and when i was as old as you, you were as old as youngest sister". If the youngest sister is 17 years old, how many years ago was her elder brother born?

Answer 1

Answer:

34 years

Step-by-step explanation:

let age of elder brother be x .

father said that he is thrice the age of his youngest daughter. as per the question she is 17 years old. hence is 3*17 that is 51 years old.

secondly, father said that we he was as old as his son. that is x years old, his son was as old as his youngest sister that is 17 years old.

but age between them will be always same.

hence acc' to first statement,

age gap = father's age - son's age = 51 - x

Acc' to second statement,

age gap=  father's age - son's age = x - 17

both age gaps must be same.

hence,  51 - x = x - 17

solving this we get 34.

thus, age of elder brother is 34 years.