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ICSE Class 10 Answered

The sum of a numerator and denominator of a fraction is greater by 1 than thrice the numerator. If the numerator is decreased by 1, then the fraction reduces to 1/3. Find the fraction.  
Asked by placi1978 | 20 Mar, 2021, 08:02: AM
answered-by-expert Expert Answer
l e t space t h e space n u m e r a t o r space b e space x space a n d space d e n o m i n a t o r space b e space y
t h e r e f o r e space a s space p e r space t h e space q u e s t i o n
x plus y equals 3 x plus 1 rightwards double arrow 2 x plus 1 equals y minus negative negative negative negative negative negative negative left parenthesis 1 right parenthesis
N o w space i f space t h e space n u m e r a t o r space i s space d e c r e a s e d space b y space 1 space
fraction numerator x minus 1 over denominator y end fraction equals 1 third rightwards double arrow 3 x minus 3 equals y minus negative negative negative negative negative negative negative negative left parenthesis 2 right parenthesis
2 x plus 1 equals 3 x minus 3
x equals 4
s u b s t i t u t i n g space i n space e q u a t i o n space 1 space w e space g e t
y equals 9
Answered by Utkarsh Lokhande | 02 Apr, 2021, 02:47: PM
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