The sum of ages of A and B is 49 years. A says to B \"I am twice as old as you were when I was as ol

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20 Mar 2013 age problem

The sum of ages of A and B is 49 years. A says to B "I am twice as old as you were when I was as old as you are". What is A and B present age.

OPtion

1) A=28,B=21
2) A=27,B=22
3) A=29,B=20
4) A=30,B=19
5) A=40,B=9
6) A=39,B=10
7) A=38,B=11
8) A=36,B=13
9) A=35,B=14
10) None of these

Solution

A+B=49 (i)
(A-B) year before
A = 2(B-(A-B))
A = 2(B-A+B)
A=4B-2A
3A=4B (ii)
solve (i) and (ii) equation
A=28,B=21
option 1

Correct Option: 1 Best Solution (0)