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Ram said to Mohan,”I am twice ass old as you were when I was old as you.” The sum of their present ages is 49 years .Then find their ages in years are.

Ram said to Mohan,”I am twice ass old as you were when I was old as you.” The sum of their present ages is 49 years .Then find their ages in years are.

Grade:11

1 Answers

ganesh ahire
36 Points
5 years ago
let ram’s age be R
and mohan’s  be M
as given
R+M=49                                                                                             (1)
now as per condition 
ram is twice mohan’s age when he himself was of Mohans present age  
means                                      
this condition tells ram is of  M years at that time
and
we need to calculate  how much the both have grown up ...
Which is difference  of rams present and conditional age
let it be D,
&    D= R-M
now as per condition ram is twice mohans present age subtracted by D
therefore   
R/2 = M-(R-M)
R/2 = 2M-R
3R/4= M                                                                 (2)
put the result (2)  in  1 to get linear equation in one variable 
3R/4+R=49
7R/4=49
R= 28
and so by (1)           M= 21
so ram is 28 and mohan 21

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