the sum of numerator and denominator of a fraction is 8.
If 3 is added to both the numerator and denominator the fraction become 3/4 find fraction.
 

Asked by Benitta Biju | 17th Jun, 2014, 08:30: AM

Expert Answer:

L e t space x space a n d space y space b e space t h e space n u m e r a t o r space a n d space t h e space d e n o m i n a t o r space o f space t h e space f r a c t i o n. T h e r e f o r e comma space f r o m space t h e space g i v e n space s t a t e m e n t comma space w e space h a v e comma space x plus y equals 8... left parenthesis 1 right parenthesis A l s o comma space w e space h a v e comma fraction numerator x plus 3 over denominator y plus 3 end fraction equals 3 over 4 rightwards double arrow 4 open parentheses x plus 3 close parentheses equals 3 open parentheses y plus 3 close parentheses rightwards double arrow 4 x plus 12 equals 3 y plus 9 rightwards double arrow 4 x minus 3 y equals minus 3... left parenthesis 2 right parenthesis S o l v i n g space e q u a t i o n s space left parenthesis 1 right parenthesis space a n d space left parenthesis 2 right parenthesis comma space w e space h a v e space x equals 3 space a n d space y equals 5. T h u s comma space t h e space r e q u i r e d space f r a c t i o n space i s space 3 over 5

Answered by Vimala Ramamurthy | 17th Jun, 2014, 09:23: AM