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CBSE Class 10 Answered

In an examination, the no. of students that passed and no. of students that failed were in the ratio 3:1. Had 8 more appeared and 6 less passed, the ratio of passes to failures would have been 2:1. FIND how many appeared ?
Asked by nisha_vini29 | 22 Mar, 2016, 06:13: PM
answered-by-expert Expert Answer

L e t space t h e space n u m b e r space o f space s t u d e n t s space t h a t space p a s s e d space b e space x space a n d space t h e space n u m b e r space o f space s t u d e n t s space t h a t space f a i l e d space b e space y. A c c o r d i n g space t o space f i r s t space c o n d i t i o n comma x over y equals 3 over 1 rightwards double arrow x equals 3 y. space. space. space. left parenthesis 1 right parenthesis n o w space t o t a l space equals space x plus y plus 8 space a n d space 6 space l e s s space p a s s e d rightwards double arrow x minus 6 S o comma space n u m b e r space o f space f a i l e d space s t u d e n t s space equals space x plus y plus 8 space minus space left parenthesis x minus 6 right parenthesis equals space y plus 14 A c c o r d i n g space t o space s e c o n d space c o n d i t i o n comma fraction numerator x minus 6 over denominator y plus 14 end fraction equals 2 over 1 rightwards double arrow x minus 6 equals 2 y plus 28.... left parenthesis 2 right parenthesis s u b s t i t u t e space left parenthesis 1 right parenthesis space i n space left parenthesis 2 right parenthesis rightwards double arrow x minus 6 equals 2 y plus 28 rightwards double arrow 3 y minus 6 equals 2 y plus 28 rightwards double arrow y equals 34 S o comma x space equals space 3 y space equals space 3 left parenthesis 34 right parenthesis space equals 102 T h e r e f o r e comma space x plus y space equals space 102 space plus space 34 space equals space 136 space s t u d e n t s space a p p e a r e d.

Answered by | 22 Mar, 2016, 06:22: PM

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