ICSE Class 9 Answered
The sum of numerator and denominator of a proper fraction is four times the numerator.the difference between the denominator and the numerator exceed half the denominator by 3.fimd the fraction
Asked by 9002271111newton | 23 Mar, 2019, 12:36: PM
Expert Answer
Let the fraction be x / y . It is a proper fraction, hence y > x .
sum of denominator and numerator is 4 times the numerator : x + y = 4x or y = 3x .............................(1)
difference of numerator and denominator exceeds half of denominator by 3 : y - x = (y/2) + 3 .....................(2)
If we substitute y = 3x in eqn.(2), we get, 3x - x = (3/2)x +3 or x/2 = 3 or x = 6 , hence y = 18
hence fraction is 6/18
Answered by Thiyagarajan K | 23 Mar, 2019, 03:17: PM
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