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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 their present ages is 125. What is the difference between Raman's daughter's present age and Raman's mother's present age?

A
45 years
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B
40 years
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C
50 years
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D
Cannot be determined
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E
None of these
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Solution

The correct option is E 50 years
Here, Raman's present age = x years

It is given that Raman's present age =3× daughter's present age

His daughter's present age =x3 years

And, it is also given that Raman's present age =913× mother's present age

His mother's present age =13x9 years

And, Sum of their ages =125

x+x3+13x9=125

9x+3x+13x9=125

25x9=125

x=125×925

x=45 years

So, Raman's present age =x=45 years

His daughter's present age =x3=453=15 years

His mother's present age =13x9=13×459=65 years

So, the difference between Raman's daughter's present age and Raman's mother's present age =6515=50 years


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