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ICSE Class 9 Answered

The sum of numerator and denominator is equal to 7 . Four times the numerator is 8 less than 5 times the denominator. Find the fraction.
Asked by archana | 30 Jan, 2017, 09:09: PM
answered-by-expert Expert Answer
begin mathsize 16px style Let space the space fraction space be space straight x over straight y. According space to space the space first space condition comma straight x plus straight y space equals space 7 space.... left parenthesis 1 right parenthesis According space to space the space second space condition comma 4 straight x equals 5 straight y minus 8 rightwards double arrow 4 straight x minus 5 straight y equals negative 8 space... left parenthesis 2 right parenthesis Multiplying space left parenthesis 1 right parenthesis space by 5 comma space we space get space 5 straight x plus 5 straight y space equals 35 space..... left parenthesis 3 right parenthesis Adding space left parenthesis 2 right parenthesis space and space left parenthesis space 3 right parenthesis comma space we space get 9 straight x space equals space 27 rightwards double arrow straight x equals 3 Substituting space in space left parenthesis 1 right parenthesis comma space we space get 3 plus straight y space equals space 7 rightwards double arrow straight y equals 4 So comma space the space fraction space is space 3 over 4. end style
Answered by Rebecca Fernandes | 31 Jan, 2017, 08:58: AM

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