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ICSE Class 9 Answered

The sum of numerator and denominator of a fraction is 2 more than twice the numerator. If the numerator and denominator are reduced by 3, they are in the ratio 3:4, find the fraction ?
Asked by nisha_vini29 | 28 May, 2018, 02:07: PM
answered-by-expert Expert Answer
begin mathsize 16px style Let space the space fraction space be space straight x over straight y Acoording space to space the space conditions comma straight x space plus space straight y space equals space 2 space plus 2 space straight x rightwards double arrow straight x space minus space straight y space equals space minus 2 space space....... left parenthesis 1 right parenthesis fraction numerator straight x space minus space 3 space over denominator straight y space minus space 3 space end fraction space equals space 3 over 4 rightwards double arrow 4 straight x space minus space 12 space equals space 3 straight y space minus space 9 rightwards double arrow 4 straight x space minus space 3 straight y space equals space 3 space space....... left parenthesis 2 right parenthesis Multiply space left parenthesis 1 right parenthesis space space by space 4 comma space we space get 4 straight x space minus 4 space straight y space equals space minus 8 space space....... left parenthesis 3 right parenthesis Subtract space left parenthesis 3 right parenthesis space from space left parenthesis 2 right parenthesis comma space we space get straight y space equals space 11 space and space put space the space value space of space straight y space in space left parenthesis 1 right parenthesis comma space we space get space straight x space equals space 9 Therefore comma space the space fraction space is space 9 over 11. end style
Answered by Yasmeen Khan | 28 May, 2018, 02:33: PM

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