Question

Raman's present age is three times his daughter's present age and nine-thirteenth of his mother's present age. The sum of the present ages of all of them is 125 years. What is the difference between the Raman's daughter's present age and Raman's mother's present age ?

Answer 1

Let Raman's age be x,
that of his daughter be y and
that of his mom be z

the according to the first condition
x=3y... (1)
also, x=9/13 z... (2)
and x+y+z=125...(3)

putting the value of x and y (substituted from 1 and 2 ) in 3 we get

9/13+3/13z +z =125
⇒z=65

substituting value of z in 1 and 2 we get
x = 45 and y = 15

so the difference is 65-15 =50 years 
i.e there is a difference of 50 yrs between Raman's daughter and his mom

Answer 2

father age is 45
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