A says to B,''i am five time as old as you when i was as old as you are''.the sum of there present age is 64 years. find their ages

Question

please answer me

 

Answer 1

Let a be the age of A and b be the age of the person B.

 

First statement tells us that (a-b) years ago, A's age was 5 times of B's age. Thus:

 

a - (a-b) = 5 (b - (a - b))

=> b = 5 (2b - a)

=> a = 9b/5

 

Also, currently sum of their age is 64 years. Thus:

 

a + b = 64

=> 9b/5 + b = 64

=> 14b/5 = 64

=> b = 22.86 years

 

a = 64 - 22.86 = 41.14 years