Raman's present age is three times his daught | vedclass

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(C) Let Raman's present age be $x$ years.$	herefore$ His daughter's present age $= x/3$ years.His mother's present age $= 13x/9$ years.According to t

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$50$

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(C) Let Raman's present age be $x$ years.$	herefore$ His daughter's present age $= x/3$ years.His mother's present age $= 13x/9$ years.According to the question, the sum of their ages is $125$ years:$x + x/3 + 13x/9 = 125$Multiplying by $9$ to clear the denominator:$9x + 3x + 13x = 125 	imes 9$$25x = 1125$$x = 1125 / 25 = 45$ years.Now, Raman's daughter's age $= 45 / 3 = 15$ years.Raman's mother's age $= (13 	imes 45) / 9 = 13 	imes 5 = 65$ years.The difference between the ages of Raman's mother and daughter $= 65 - 15 = 50$ years.

Raman's present age is three times his daughter's and $9/13$ of his mother's present age. The sum of the present ages of all three of them is $125 \text{ years}$. What is the difference between the present ages of Raman's daughter and Raman's mother? (in $\text{years}$)

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