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The numerator and denominator of the fraction are in the ratio 15 : 8, if the numerator of the fraction is decreased by 9 and the denominator is increased by 6 their division gives a quotient of 1.5. Find the fraction.
  • a)
    30/17
  • b)
    45/25
  • c)
    60/37
  • d)
    90/48
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
The numerator and denominator of the fraction are in the ratio 15 : 8,...
Let the fraction be (x/y). According to the question, x/y = 15/8      ----(I)
Now if x is decreased by 9 and y is increased by 6 then the fraction is (x - 9)/(y + 6)      ----(II)
According to the problem (x - 9)/(y + 6) = 1.5 = 3/2      ----(III)
From Equation (I), x = (15/8)y      ----(IV)
Putting (IV) in Equation (III) we get

 
⇒ y = 48
Since y = 48 from Equation (IV)  x = (15/8) × 48 = 90
∴ Fraction is 90/48.
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The numerator and denominator of the fraction are in the ratio 15 : 8, if the numerator of the fraction is decreased by 9 and the denominator is increased by 6 their division gives a quotient of 1.5. Find the fraction.a)30/17b)45/25c)60/37d)90/48Correct answer is option 'D'. Can you explain this answer?
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The numerator and denominator of the fraction are in the ratio 15 : 8, if the numerator of the fraction is decreased by 9 and the denominator is increased by 6 their division gives a quotient of 1.5. Find the fraction.a)30/17b)45/25c)60/37d)90/48Correct answer is option 'D'. Can you explain this answer? for Railways 2024 is part of Railways preparation. The Question and answers have been prepared according to the Railways exam syllabus. Information about The numerator and denominator of the fraction are in the ratio 15 : 8, if the numerator of the fraction is decreased by 9 and the denominator is increased by 6 their division gives a quotient of 1.5. Find the fraction.a)30/17b)45/25c)60/37d)90/48Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Railways 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The numerator and denominator of the fraction are in the ratio 15 : 8, if the numerator of the fraction is decreased by 9 and the denominator is increased by 6 their division gives a quotient of 1.5. Find the fraction.a)30/17b)45/25c)60/37d)90/48Correct answer is option 'D'. Can you explain this answer?.
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