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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
answered-by-expert 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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