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CBSE Class 10 Answered

SYUDENTS OF A CLASS ARE MADE TO STAND IN A ROWS. IF 4 STUDENTS ARE EXTRA IN A ROW , THERE WOULD BE TWO ROWS LESS . IF FOUR STUDENTS ARE ARE LESS IN AROW THEN THERE WOULD BE FOUR MORE ROWS. FIND THE NUMBER OF CHIDREN.
Asked by dalbirgolagarh | 21 Jul, 2015, 04:10: PM
answered-by-expert Expert Answer
L e t space x space b e space t h e space n u m b e r space o f space s t u d e n t s space i n space a space r o w space a n d space l e t space y space b e space t h e space n u m b e r space o f space r o w s. I f space 4 space s t u d e n t s space a r e space e x t r a space i n space a space r o w comma space t h e r e space w o u l d space b e space t w o space r o w s space l e s s 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 open parentheses x plus 4 close parentheses open parentheses y minus 2 close parentheses equals x y... left parenthesis 1 right parenthesis S i m i l a r l y comma space f r o m space t h e space s t a t e m e n t comma space " I f space f o u r space s t u d e n t s space a r e space l e s s space i n space a space r o w comma space t h e n space t h e r e space w o u l d space b e space f o u r space m o r e space " comma space w e space h a v e comma open parentheses x minus 4 close parentheses open parentheses y plus 4 close parentheses equals x y... left parenthesis 2 right parenthesis R e w r i t i n g space t h e space a b o v e space e q u a t i o n s space w e space h a v e comma minus 2 x plus 4 y equals 8... left parenthesis 3 right parenthesis a n d 4 x minus 4 y equals 16... left parenthesis 4 right parenthesis S o l v i n g space e q u a t i o n s space left parenthesis 3 right parenthesis space a n d space left parenthesis 4 right parenthesis comma space w e space h a v e comma x equals 12 space a n d space y equals 8 T h u s comma space t h e space n u m b e r space o f space c h i l d r e n space i n space t h e space s c h o o l equals x cross times y equals 12 cross times 8 equals 96
Answered by Vimala Ramamurthy | 22 Jul, 2015, 09:09: AM
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