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

A) 45 yr
B) 40 yr
C) 50 yr
D) Cannot be determined

Correct Answer:



C) 50 yr

Description for Correct answer:
Let age of Raman's daughter = x yr

Then, age of Raman = 3x yr and age of Raman's mother
= \( \large\frac{13}{9} \times 3x = \frac{13}{3}x yr \)

According to the question,
\( \large x + 3x +\frac{13}{3}x = 125 \)

3x + 9x + 13x = 135 X 3

X = \( \large\frac{125 \times 3}{25} = 15 \)

Hence, required difference

= \( \large\frac{13}{3}x - x = \frac{10x}{3} = \frac{10 X 15}{3} = 50yr \)

Part of solved Problem on ages questions and answers : >> Aptitude >> Problem on ages

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