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CBSE Class 8 Answered

The length and breadth are in the ratio 3:2 increasing the length by any amount. Can we make the ratio 4:3? How about 5:3?
Asked by Nimmi | 23 Jan, 2019, 11:11: PM
answered-by-expert Expert Answer
begin mathsize 12px style fraction numerator L e n g t h over denominator B r e a d t h end fraction space equals space 3 over 2 l e t space u s space i n c r e a s e space t h e space l e n g t h space b y space l space t o space c h a n g e space t h e space r a t i o space t o space 4 divided by 3 T h e n space fraction numerator 3 plus l over denominator 2 end fraction space equals space 4 over 3 space space o r space space space 9 plus 3 l space equals space 8 space space space o r space space l space equals negative 1 third sin c e space l space i s space minus v e comma space i t space i s space n o t space p o s s i b l e space t o space g e t space t h e space r a t i o space 4 colon 3 space b y space i n c r e a sin g space l e n g t h L e t space u s space t r y space t h e space o t h e r space r a t i o space 5 colon 3 fraction numerator 3 plus l over denominator 2 end fraction space equals space 5 over 3 space space space o r space space 9 plus 3 l space equals space 10 space space space o r space space l space equals space 1 third end style
 
If (1/3) is to be added to the numerator of fraction (3/2) to get the fraction (5/3),
hence the fraction of initial length to be added to initial length is begin mathsize 12px style fraction numerator begin display style bevelled 1 third end style over denominator 3 end fraction space equals space 1 over 9 end style
Hence by increasing the length by (1/9) of its initial value, the ratio can be changed to 5:3
Answered by Thiyagarajan K | 24 Jan, 2019, 12:49: PM

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