Subject
Quantitative Aptitude
Topic
Age
Rajan'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 years. What is the difference between the present ages of Rajan's daughter and Rajan's mather ?
Rajan'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 years. What is the difference between the present ages of Rajan's daughter and Rajan's mather ?
ক)
32 yearsখ)
48 yearsগ)
62 yearsঘ)
50 yearsExplanation
Let Rajan's present age be 'x' years. => Then his daughter's present age is = x/3 years. His mother's present age = 13x/9 years Now, according to the question, x + x/3 + 13x/9 = 125 => x = 125x9/25 = 45 Therefore, required difference = 13x/9 - x/3 = 13x - 3x/9 = 10x/9 => 10 x 45/9 = 50 years.Related questions
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